56051332128 has 864 divisors, whose sum is σ = 205934218560. Its totient is φ = 14656204800.

The previous prime is 56051332049. The next prime is 56051332133. The reversal of 56051332128 is 82123315065.

56051332128 is a `hidden beast` number, since 5 + 605 + 1 + 3 + 3 + 21 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56051332092 and 56051332101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1808107473 + ... + 1808107503.

It is an arithmetic number, because the mean of its divisors is an integer number (238349790).

Almost surely, 2^56051332128 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 56051332128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102967109280).

56051332128 is an abundant number, since it is smaller than the sum of its proper divisors (149882886432).

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

56051332128 is a wasteful number, since it uses less digits than its factorization.

56051332128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 56051332128 in words is "fifty-six billion, fifty-one million, three hundred thirty-two thousand, one hundred twenty-eight".