56566076400 has 360 divisors, whose sum is σ = 202305645360. Its totient is φ = 14627328000.

The previous prime is 56566076387. The next prime is 56566076401. The reversal of 56566076400 is 467066565.

It is a tau number, because it is divible by the number of its divisors (360).

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 (56566076401) 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, 26419330 + ... + 26421470.

It is an arithmetic number, because the mean of its divisors is an integer number (561960126).

Almost surely, 2^56566076400 is an apocalyptic number.

56566076400 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 56566076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101152822680).

56566076400 is an abundant number, since it is smaller than the sum of its proper divisors (145739568960).

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

56566076400 is a wasteful number, since it uses less digits than its factorization.

56566076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2371 counting only the distinct ones).

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

The spelling of 56566076400 in words is "fifty-six billion, five hundred sixty-six million, seventy-six thousand, four hundred".