55738080 has 72 divisors (see below), whose sum is σ = 190211112. Its totient is φ = 14863104.

The previous prime is 55738063. The next prime is 55738091. The reversal of 55738080 is 8083755.

It is a happy number.

55738080 is a `hidden beast` number, since 5 + 573 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17914 + ... + 20793.

It is an arithmetic number, because the mean of its divisors is an integer number (2641821).

Almost surely, 2^55738080 is an apocalyptic number.

It is an amenable number.

55738080 is an abundant number, since it is smaller than the sum of its proper divisors (134473032).

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

55738080 is a wasteful number, since it uses less digits than its factorization.

55738080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38728 (or 38717 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 55738080 is about 7465.7939966222. The cubic root of 55738080 is about 381.9888340440.

The spelling of 55738080 in words is "fifty-five million, seven hundred thirty-eight thousand, eighty".