56253413440 has 224 divisors, whose sum is σ = 167327299584. Its totient is φ = 17566433280.

The previous prime is 56253413417. The next prime is 56253413459. The reversal of 56253413440 is 4431435265.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 56253413440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156654 + ... + 1204306.

Almost surely, 2^56253413440 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 56253413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83663649792).

56253413440 is an abundant number, since it is smaller than the sum of its proper divisors (111073886144).

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

56253413440 is a wasteful number, since it uses less digits than its factorization.

56253413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47725 (or 47715 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 56253413440 in words is "fifty-six billion, two hundred fifty-three million, four hundred thirteen thousand, four hundred forty".