56546205408 has 1152 divisors, whose sum is σ = 223388928000. Its totient is φ = 13737185280.

The previous prime is 56546205403. The next prime is 56546205427. The reversal of 56546205408 is 80450264565.

56546205408 is a `hidden beast` number, since 5 + 65 + 46 + 2 + 0 + 540 + 8 = 666.

56546205408 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 (56546205403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 715774713 + ... + 715774791.

It is an arithmetic number, because the mean of its divisors is an integer number (193914000).

Almost surely, 2^56546205408 is an apocalyptic number.

56546205408 is a gapful number since it is divisible by the number (58) 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 56546205408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111694464000).

56546205408 is an abundant number, since it is smaller than the sum of its proper divisors (166842722592).

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

56546205408 is a wasteful number, since it uses less digits than its factorization.

56546205408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 56546205408 in words is "fifty-six billion, five hundred forty-six million, two hundred five thousand, four hundred eight".