56395799414064 has 160 divisors (see below), whose sum is σ = 182682318297600. Its totient is φ = 16500338346240.

The previous prime is 56395799414051. The next prime is 56395799414083. The reversal of 56395799414064 is 46041499759365.

56395799414064 is a `hidden beast` number, since 5 + 6 + 3 + 9 + 579 + 9 + 4 + 1 + 40 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56395799413983 and 56395799414001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204479484 + ... + 204755099.

It is an arithmetic number, because the mean of its divisors is an integer number (1141764489360).

Almost surely, 2^{56395799414064} is an apocalyptic number.

56395799414064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56395799414064 is an abundant number, since it is smaller than the sum of its proper divisors (126286518883536).

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

56395799414064 is a wasteful number, since it uses less digits than its factorization.

56395799414064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409234640 (or 409234628 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 56395799414064 in words is "fifty-six trillion, three hundred ninety-five billion, seven hundred ninety-nine million, four hundred fourteen thousand, sixty-four".