56500245360 has 640 divisors, whose sum is σ = 221105848320. Its totient is φ = 13163212800.

The previous prime is 56500245359. The next prime is 56500245377. The reversal of 56500245360 is 6354200565.

It is a happy number.

56500245360 is a `hidden beast` number, since 5 + 6 + 50 + 0 + 245 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40911870 + ... + 40913250.

It is an arithmetic number, because the mean of its divisors is an integer number (345477888).

Almost surely, 2^56500245360 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 56500245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110552924160).

56500245360 is an abundant number, since it is smaller than the sum of its proper divisors (164605602960).

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

56500245360 is a wasteful number, since it uses less digits than its factorization.

56500245360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 56500245360 in words is "fifty-six billion, five hundred million, two hundred forty-five thousand, three hundred sixty".