51157032960 has 224 divisors, whose sum is σ = 178578369792. Its totient is φ = 12401377280.

The previous prime is 51157032937. The next prime is 51157032967. The reversal of 51157032960 is 6923075115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51157032967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332757 + ... + 1370603.

Almost surely, 2^51157032960 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 51157032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89289184896).

51157032960 is an abundant number, since it is smaller than the sum of its proper divisors (127421336832).

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

51157032960 is a wasteful number, since it uses less digits than its factorization.

51157032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37892 (or 37868 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 51157032960 in words is "fifty-one billion, one hundred fifty-seven million, thirty-two thousand, nine hundred sixty".