56597887088640 has 1536 divisors, whose sum is σ = 215568138240000. Its totient is φ = 14044635463680.

The previous prime is 56597887088627. The next prime is 56597887088653. The reversal of 56597887088640 is 4688078879565.

56597887088640 is a `hidden beast` number, since 565 + 9 + 7 + 8 + 8 + 7 + 0 + 8 + 8 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (56597887088627) and next prime (56597887088653).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 56597887088640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118158427921 + ... + 118158428399.

It is an arithmetic number, because the mean of its divisors is an integer number (140343840000).

Almost surely, 2^{56597887088640} 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 56597887088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107784069120000).

56597887088640 is an abundant number, since it is smaller than the sum of its proper divisors (158970251151360).

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

56597887088640 is a wasteful number, since it uses less digits than its factorization.

56597887088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 6502809600, while the sum is 81.

The spelling of 56597887088640 in words is "fifty-six trillion, five hundred ninety-seven billion, eight hundred eighty-seven million, eighty-eight thousand, six hundred forty".