56987832545280 has 4992 divisors, whose sum is σ = 278307082690560. Its totient is φ = 10915801989120.

The previous prime is 56987832545183. The next prime is 56987832545299. The reversal of 56987832545280 is 8254523878965.

56987832545280 is a `hidden beast` number, since 5 + 6 + 9 + 8 + 78 + 3 + 2 + 545 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×56987832545280² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 56987832545199 and 56987832545208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 185628118887 + ... + 185628119193.

Almost surely, 2^{56987832545280} 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 56987832545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139153541345280).

56987832545280 is an abundant number, since it is smaller than the sum of its proper divisors (221319250145280).

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

56987832545280 is a wasteful number, since it uses less digits than its factorization.

56987832545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 56987832545280 in words is "fifty-six trillion, nine hundred eighty-seven billion, eight hundred thirty-two million, five hundred forty-five thousand, two hundred eighty".