51056815557888 has 1296 divisors, whose sum is σ = 176134728946176. Its totient is φ = 14179593093120.

The previous prime is 51056815557883. The next prime is 51056815557907. The reversal of 51056815557888 is 88875551865015.

51056815557888 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 68 + 1 + 5 + 557 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51056815557883) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228954329745 + ... + 228954329967.

It is an arithmetic number, because the mean of its divisors is an integer number (135906426656).

Almost surely, 2^{51056815557888} 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 51056815557888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88067364473088).

51056815557888 is an abundant number, since it is smaller than the sum of its proper divisors (125077913388288).

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

51056815557888 is a wasteful number, since it uses less digits than its factorization.

51056815557888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 537600000, while the sum is 72.

The spelling of 51056815557888 in words is "fifty-one trillion, fifty-six billion, eight hundred fifteen million, five hundred fifty-seven thousand, eight hundred eighty-eight".