55646555564655 has 96 divisors (see below), whose sum is σ = 108644203100160. Its totient is φ = 26103246624000.

The previous prime is 55646555564627. The next prime is 55646555564683.

It is a happy number.

55646555564655 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 6 + 5 + 5 + 5 + 564 + 6 + 55 = 666.

55646555564655 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (55646555564627) and next prime (55646555564683).

It is not a de Polignac number, because 55646555564655 - 2⁹ = 55646555564143 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60756660 + ... + 61665750.

It is an arithmetic number, because the mean of its divisors is an integer number (1131710448960).

Almost surely, 2^{55646555564655} is an apocalyptic number.

55646555564655 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55646555564655 is a deficient number, since it is larger than the sum of its proper divisors (52997647535505).

55646555564655 is a wasteful number, since it uses less digits than its factorization.

55646555564655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913133 (or 913130 counting only the distinct ones).

The product of its digits is 8100000000, while the sum is 72.

The spelling of 55646555564655 in words is "fifty-five trillion, six hundred forty-six billion, five hundred fifty-five million, five hundred sixty-four thousand, six hundred fifty-five".