51096000 has 112 divisors (see below), whose sum is σ = 168798240. Its totient is φ = 13619200.

The previous prime is 51095987. The next prime is 51096007. The reversal of 51096000 is 69015.

51096000 = T₉₉ + T₁₀₀ + ... + T₆₇₄.

It is a super-2 number, since 2×51096000² = 5221602432000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51096007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22936 + ... + 25064.

Almost surely, 2^51096000 is an apocalyptic number.

51096000 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 51096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84399120).

51096000 is an abundant number, since it is smaller than the sum of its proper divisors (117702240).

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

51096000 is a wasteful number, since it uses less digits than its factorization.

51096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 51096000 is about 7148.1466129340. The cubic root of 51096000 is about 371.0755168696.

The spelling of 51096000 in words is "fifty-one million, ninety-six thousand".