56377455840 has 384 divisors, whose sum is σ = 200592806400. Its totient is φ = 14786703360.

The previous prime is 56377455821. The next prime is 56377455881. The reversal of 56377455840 is 4855477365.

56377455840 is a `hidden beast` number, since 56 + 3 + 7 + 7 + 4 + 5 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127262659 + ... + 127263101.

It is an arithmetic number, because the mean of its divisors is an integer number (522377100).

Almost surely, 2^56377455840 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 56377455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100296403200).

56377455840 is an abundant number, since it is smaller than the sum of its proper divisors (144215350560).

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

56377455840 is a wasteful number, since it uses less digits than its factorization.

56377455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 56377455840 in words is "fifty-six billion, three hundred seventy-seven million, four hundred fifty-five thousand, eight hundred forty".