51693120 has 224 divisors, whose sum is σ = 189219840. Its totient is φ = 13271040.

The previous prime is 51693079. The next prime is 51693133. The reversal of 51693120 is 2139615.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267744 + ... + 267936.

Almost surely, 2^51693120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94609920).

51693120 is an abundant number, since it is smaller than the sum of its proper divisors (137526720).

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

51693120 is a wasteful number, since it uses less digits than its factorization.

51693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 51693120 is about 7189.7927647464. The cubic root of 51693120 is about 372.5154145837.

It can be divided in two parts, 516 and 93120, that added together give a square (93636 = 306²).

The spelling of 51693120 in words is "fifty-one million, six hundred ninety-three thousand, one hundred twenty".