55665120 has 96 divisors (see below), whose sum is σ = 200406528. Its totient is φ = 12722688.

The previous prime is 55665109. The next prime is 55665163. The reversal of 55665120 is 2156655.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×55665120² = 6197211169228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4924 + ... + 11643.

It is an arithmetic number, because the mean of its divisors is an integer number (2087568).

Almost surely, 2^55665120 is an apocalyptic number.

It is an amenable number.

55665120 is an abundant number, since it is smaller than the sum of its proper divisors (144741408).

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

55665120 is a wasteful number, since it uses less digits than its factorization.

55665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16592 (or 16584 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 55665120 is about 7460.9061111905. The cubic root of 55665120 is about 381.8220894261.

The spelling of 55665120 in words is "fifty-five million, six hundred sixty-five thousand, one hundred twenty".