56480565092832 has 288 divisors, whose sum is σ = 171961028628480. Its totient is φ = 18217144373760.

The previous prime is 56480565092797. The next prime is 56480565092849. The reversal of 56480565092832 is 23829056508465.

56480565092832 is a `hidden beast` number, since 5 + 6 + 48 + 0 + 5 + 6 + 509 + 2 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 56480565092832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3333554953 + ... + 3333571895.

It is an arithmetic number, because the mean of its divisors is an integer number (597086904960).

Almost surely, 2^{56480565092832} 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 56480565092832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85980514314240).

56480565092832 is an abundant number, since it is smaller than the sum of its proper divisors (115480463535648).

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

56480565092832 is a wasteful number, since it uses less digits than its factorization.

56480565092832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30828 (or 30808 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 56480565092832 in words is "fifty-six trillion, four hundred eighty billion, five hundred sixty-five million, ninety-two thousand, eight hundred thirty-two".