56511302400 has 1296 divisors, whose sum is σ = 249096556800. Its totient is φ = 12401786880.

The previous prime is 56511302399. The next prime is 56511302401. The reversal of 56511302400 is 420311565.

56511302400 is a `hidden beast` number, since 5 + 651 + 1 + 3 + 0 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56511302399) and next prime (56511302401).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56511302401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315705511 + ... + 315705689.

Almost surely, 2^56511302400 is an apocalyptic number.

56511302400 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 56511302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124548278400).

56511302400 is an abundant number, since it is smaller than the sum of its proper divisors (192585254400).

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

56511302400 is a wasteful number, since it uses less digits than its factorization.

56511302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 56511302400 its reverse (420311565), we get a palindrome (56931613965).

The spelling of 56511302400 in words is "fifty-six billion, five hundred eleven million, three hundred two thousand, four hundred".