56528920400 has 90 divisors (see below), whose sum is σ = 136308049722. Its totient is φ = 22529024000.

The previous prime is 56528920397. The next prime is 56528920411. The reversal of 56528920400 is 402982565.

56528920400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 2688215104 + 53840705296 = 51848^2 + 232036^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 80640050 + ... + 80640750.

Almost surely, 2^56528920400 is an apocalyptic number.

56528920400 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 56528920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68154024861).

56528920400 is an abundant number, since it is smaller than the sum of its proper divisors (79779129322).

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

56528920400 is an equidigital number, since it uses as much as digits as its factorization.

56528920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 56528920400 in words is "fifty-six billion, five hundred twenty-eight million, nine hundred twenty thousand, four hundred".