56246040576 has 384 divisors, whose sum is σ = 183980160000. Its totient is φ = 16836526080.

The previous prime is 56246040559. The next prime is 56246040577. The reversal of 56246040576 is 67504064265.

56246040576 is a `hidden beast` number, since 56 + 24 + 6 + 0 + 4 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56246040577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54134265 + ... + 54135303.

It is an arithmetic number, because the mean of its divisors is an integer number (479115000).

Almost surely, 2^56246040576 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 56246040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080000).

56246040576 is an abundant number, since it is smaller than the sum of its proper divisors (127734119424).

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

56246040576 is a wasteful number, since it uses less digits than its factorization.

56246040576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 56246040576 in words is "fifty-six billion, two hundred forty-six million, forty thousand, five hundred seventy-six".