56208400109568 has 624 divisors, whose sum is σ = 195436751502720. Its totient is φ = 15205235687424.

The previous prime is 56208400109471. The next prime is 56208400109611. The reversal of 56208400109568 is 86590100480265.

56208400109568 is a `hidden beast` number, since 5 + 6 + 20 + 8 + 40 + 0 + 10 + 9 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14497908846 + ... + 14497912722.

It is an arithmetic number, because the mean of its divisors is an integer number (313199922280).

Almost surely, 2^{56208400109568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56208400109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97718375751360).

56208400109568 is an abundant number, since it is smaller than the sum of its proper divisors (139228351393152).

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

56208400109568 is a wasteful number, since it uses less digits than its factorization.

56208400109568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6890 (or 6865 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 56208400109568 in words is "fifty-six trillion, two hundred eight billion, four hundred million, one hundred nine thousand, five hundred sixty-eight".