51861600 has 360 divisors, whose sum is σ = 218814120. Its totient is φ = 11854080.

The previous prime is 51861571. The next prime is 51861631. The reversal of 51861600 is 616815.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

51861600 is a `hidden beast` number, since 51 + 8 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7408797 + ... + 7408803.

It is an arithmetic number, because the mean of its divisors is an integer number (607817).

Almost surely, 2^51861600 is an apocalyptic number.

51861600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109407060).

51861600 is an abundant number, since it is smaller than the sum of its proper divisors (166952520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51861600 is an equidigital number, since it uses as much as digits as its factorization.

51861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 51861600 is about 7201.4998437825. The cubic root of 51861600 is about 372.9196807319.

It can be divided in two parts, 5186 and 1600, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 51861600 in words is "fifty-one million, eight hundred sixty-one thousand, six hundred".