56477977977465 has 96 divisors (see below), whose sum is σ = 107462503878912. Its totient is φ = 27212122368000.

The previous prime is 56477977977457. The next prime is 56477977977469.

56477977977465 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 7 + 9 + 7 + 79 + 77 + 465 = 666.

56477977977465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56477977977465 - 2³ = 56477977977457 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56477977977469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320734845 + ... + 320910885.

It is an arithmetic number, because the mean of its divisors is an integer number (1119401082072).

Almost surely, 2^{56477977977465} is an apocalyptic number.

56477977977465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56477977977465 is a deficient number, since it is larger than the sum of its proper divisors (50984525901447).

56477977977465 is a wasteful number, since it uses less digits than its factorization.

56477977977465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180111 (or 180108 counting only the distinct ones).

The product of its digits is 137225793600, while the sum is 90.

The spelling of 56477977977465 in words is "fifty-six trillion, four hundred seventy-seven billion, nine hundred seventy-seven million, nine hundred seventy-seven thousand, four hundred sixty-five".