56769025474560 has 1088 divisors, whose sum is σ = 223135001966592. Its totient is φ = 12028559228928.

The previous prime is 56769025474457. The next prime is 56769025474561. The reversal of 56769025474560 is 6547452096765.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a junction number, because it is equal to n+sod(n) for n = 56769025474491 and 56769025474500.

It is not an unprimeable number, because it can be changed into a prime (56769025474561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7837774299 + ... + 7837781541.

It is an arithmetic number, because the mean of its divisors is an integer number (205087317984).

Almost surely, 2^{56769025474560} 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 56769025474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111567500983296).

56769025474560 is an abundant number, since it is smaller than the sum of its proper divisors (166365976492032).

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

56769025474560 is an equidigital number, since it uses as much as digits as its factorization.

56769025474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 66.

The spelling of 56769025474560 in words is "fifty-six trillion, seven hundred sixty-nine billion, twenty-five million, four hundred seventy-four thousand, five hundred sixty".