56761544400 has 240 divisors, whose sum is σ = 199472232960. Its totient is φ = 13682931200.

The previous prime is 56761544393. The next prime is 56761544423. The reversal of 56761544400 is 444516765.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2350789 + ... + 2374811.

It is an arithmetic number, because the mean of its divisors is an integer number (831134304).

Almost surely, 2^56761544400 is an apocalyptic number.

56761544400 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 56761544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99736116480).

56761544400 is an abundant number, since it is smaller than the sum of its proper divisors (142710688560).

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

56761544400 is a wasteful number, since it uses less digits than its factorization.

56761544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24234 (or 24223 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 56761544400 in words is "fifty-six billion, seven hundred sixty-one million, five hundred forty-four thousand, four hundred".