56113602688000 has 1056 divisors, whose sum is σ = 172575576006912. Its totient is φ = 18014650368000.

The previous prime is 56113602687997. The next prime is 56113602688009. The reversal of 56113602688000 is 88620631165.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56113602688009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5472890874 + ... + 5472901126.

Almost surely, 2^{56113602688000} is an apocalyptic number.

56113602688000 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 56113602688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86287788003456).

56113602688000 is an abundant number, since it is smaller than the sum of its proper divisors (116461973318912).

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

56113602688000 is a wasteful number, since it uses less digits than its factorization.

56113602688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 56113602688000 in words is "fifty-six trillion, one hundred thirteen billion, six hundred two million, six hundred eighty-eight thousand".