56495750400 has 378 divisors, whose sum is σ = 209675119430. Its totient is φ = 15064289280.

The previous prime is 56495750341. The next prime is 56495750419. The reversal of 56495750400 is 405759465.

56495750400 is a `hidden beast` number, since 56 + 4 + 95 + 7 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18872165376 + 37623585024 = 137376^2 + 193968^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4659546 + ... + 4671654.

Almost surely, 2^56495750400 is an apocalyptic number.

56495750400 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 56495750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104837559715).

56495750400 is an abundant number, since it is smaller than the sum of its proper divisors (153179369030).

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

56495750400 is an equidigital number, since it uses as much as digits as its factorization.

56495750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12153 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56495750400 in words is "fifty-six billion, four hundred ninety-five million, seven hundred fifty thousand, four hundred".