56541864400 has 360 divisors, whose sum is σ = 167617620000. Its totient is φ = 18224317440.

The previous prime is 56541864361. The next prime is 56541864403. The reversal of 56541864400 is 446814565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56541864403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55487091 + ... + 55488109.

It is an arithmetic number, because the mean of its divisors is an integer number (465604500).

Almost surely, 2^56541864400 is an apocalyptic number.

56541864400 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 56541864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83808810000).

56541864400 is an abundant number, since it is smaller than the sum of its proper divisors (111075755600).

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

56541864400 is a wasteful number, since it uses less digits than its factorization.

56541864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 56541864400 in words is "fifty-six billion, five hundred forty-one million, eight hundred sixty-four thousand, four hundred".