56400873817024 has 224 divisors, whose sum is σ = 129700039214592. Its totient is φ = 24083963904000.

The previous prime is 56400873817021. The next prime is 56400873817033. The reversal of 56400873817024 is 42071837800465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56400873817021) 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, 205614684 + ... + 205888804.

It is an arithmetic number, because the mean of its divisors is an integer number (579018032208).

Almost surely, 2^{56400873817024} 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 56400873817024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64850019607296).

56400873817024 is an abundant number, since it is smaller than the sum of its proper divisors (73299165397568).

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

56400873817024 is a wasteful number, since it uses less digits than its factorization.

56400873817024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274395 (or 274385 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 56400873817024 in words is "fifty-six trillion, four hundred billion, eight hundred seventy-three million, eight hundred seventeen thousand, twenty-four".