56753942400 has 576 divisors, whose sum is σ = 225745930800. Its totient is φ = 13492224000.

The previous prime is 56753942363. The next prime is 56753942407. The reversal of 56753942400 is 424935765.

56753942400 is a `hidden beast` number, since 567 + 5 + 3 + 9 + 42 + 40 + 0 = 666.

56753942400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56753942407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9299350 + ... + 9305450.

Almost surely, 2^56753942400 is an apocalyptic number.

56753942400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56753942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112872965400).

56753942400 is an abundant number, since it is smaller than the sum of its proper divisors (168991988400).

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

56753942400 is a wasteful number, since it uses less digits than its factorization.

56753942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 56753942400 in words is "fifty-six billion, seven hundred fifty-three million, nine hundred forty-two thousand, four hundred".