56513707810560 has 4608 divisors, whose sum is σ = 286088940748800. Its totient is φ = 10173366927360.

The previous prime is 56513707810519. The next prime is 56513707810627. The reversal of 56513707810560 is 6501870731565.

It is a happy number.

56513707810560 is a `hidden beast` number, since 5 + 6 + 5 + 1 + 3 + 7 + 0 + 78 + 1 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56513707810497 and 56513707810506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 83476672942 + ... + 83476673618.

It is an arithmetic number, because the mean of its divisors is an integer number (62085273600).

Almost surely, 2^{56513707810560} 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 56513707810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143044470374400).

56513707810560 is an abundant number, since it is smaller than the sum of its proper divisors (229575232938240).

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

56513707810560 is a wasteful number, since it uses less digits than its factorization.

56513707810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 56513707810560 in words is "fifty-six trillion, five hundred thirteen billion, seven hundred seven million, eight hundred ten thousand, five hundred sixty".