55057680 has 120 divisors (see below), whose sum is σ = 188952192. Its totient is φ = 14360832.

The previous prime is 55057663. The next prime is 55057703. The reversal of 55057680 is 8675055.

55057680 is a `hidden beast` number, since 5 + 5 + 0 + 576 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33027 + ... + 34653.

Almost surely, 2^55057680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94476096).

55057680 is an abundant number, since it is smaller than the sum of its proper divisors (133894512).

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

55057680 is a wasteful number, since it uses less digits than its factorization.

55057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55057680 is about 7420.0862528680. The cubic root of 55057680 is about 380.4281416286.

The spelling of 55057680 in words is "fifty-five million, fifty-seven thousand, six hundred eighty".