55005680 has 40 divisors (see below), whose sum is σ = 131351712. Its totient is φ = 21406464.

The previous prime is 55005667. The next prime is 55005697. The reversal of 55005680 is 8650055.

55005680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6332 + ... + 12251.

Almost surely, 2^55005680 is an apocalyptic number.

It is an amenable number.

55005680 is an abundant number, since it is smaller than the sum of its proper divisors (76346032).

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

55005680 is a wasteful number, since it uses less digits than its factorization.

55005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18633 (or 18627 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 55005680 is about 7416.5814227311. The cubic root of 55005680 is about 380.3083370012.

The spelling of 55005680 in words is "fifty-five million, five thousand, six hundred eighty".