56769518400 has 1008 divisors, whose sum is σ = 230437334400. Its totient is φ = 12222873600.

The previous prime is 56769518369. The next prime is 56769518401. The reversal of 56769518400 is 481596765.

56769518400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56769518401) 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, 1384622380 + ... + 1384622420.

Almost surely, 2^56769518400 is an apocalyptic number.

56769518400 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 56769518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115218667200).

56769518400 is an abundant number, since it is smaller than the sum of its proper divisors (173667816000).

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

56769518400 is a wasteful number, since it uses less digits than its factorization.

56769518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 56769518400 in words is "fifty-six billion, seven hundred sixty-nine million, five hundred eighteen thousand, four hundred".