56582288640 has 576 divisors, whose sum is σ = 214129440000. Its totient is φ = 14099152896.

The previous prime is 56582288617. The next prime is 56582288663. The reversal of 56582288640 is 4688228565.

It is a happy number.

56582288640 is a `hidden beast` number, since 56 + 582 + 2 + 8 + 8 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56582288617) and next prime (56582288663).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113391111 + ... + 113391609.

It is an arithmetic number, because the mean of its divisors is an integer number (371752500).

Almost surely, 2^56582288640 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 56582288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107064720000).

56582288640 is an abundant number, since it is smaller than the sum of its proper divisors (157547151360).

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

56582288640 is a wasteful number, since it uses less digits than its factorization.

56582288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 56582288640 in words is "fifty-six billion, five hundred eighty-two million, two hundred eighty-eight thousand, six hundred forty".