56245892640 has 1152 divisors, whose sum is σ = 231430929408. Its totient is φ = 11395399680.

The previous prime is 56245892627. The next prime is 56245892653. The reversal of 56245892640 is 4629854265.

It is an interprime number because it is at equal distance from previous prime (56245892627) and next prime (56245892653).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770491644 + ... + 770491716.

It is an arithmetic number, because the mean of its divisors is an integer number (200894904).

Almost surely, 2^56245892640 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 56245892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115715464704).

56245892640 is an abundant number, since it is smaller than the sum of its proper divisors (175185036768).

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

56245892640 is a wasteful number, since it uses less digits than its factorization.

56245892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 56245892640 in words is "fifty-six billion, two hundred forty-five million, eight hundred ninety-two thousand, six hundred forty".