56405166150465 has 128 divisors (see below), whose sum is σ = 111728357130240. Its totient is φ = 26763923577600.

The previous prime is 56405166150457. The next prime is 56405166150551.

56405166150465 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 5 + 16 + 61 + 504 + 65 = 666.

56405166150465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56405166150465 - 2³ = 56405166150457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1156269375 + ... + 1156318155.

It is an arithmetic number, because the mean of its divisors is an integer number (872877790080).

Almost surely, 2^{56405166150465} is an apocalyptic number.

56405166150465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56405166150465 is a deficient number, since it is larger than the sum of its proper divisors (55323190979775).

56405166150465 is a wasteful number, since it uses less digits than its factorization.

56405166150465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65420 (or 65414 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 56405166150465 in words is "fifty-six trillion, four hundred five billion, one hundred sixty-six million, one hundred fifty thousand, four hundred sixty-five".