55658016 has 120 divisors (see below), whose sum is σ = 166028940. Its totient is φ = 18289152.

The previous prime is 55657991. The next prime is 55658021. The reversal of 55658016 is 61085655.

55658016 is a `hidden beast` number, since 5 + 565 + 80 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 9363600 = 6804^2 + 3060^2 .

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 19 ways as a sum of consecutive naturals, for example, 282430 + ... + 282626.

Almost surely, 2^55658016 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 55658016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83014470).

55658016 is an abundant number, since it is smaller than the sum of its proper divisors (110370924).

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

55658016 is a wasteful number, since it uses less digits than its factorization.

55658016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55658016 is about 7460.4300144161. The cubic root of 55658016 is about 381.8058459836.

The spelling of 55658016 in words is "fifty-five million, six hundred fifty-eight thousand, sixteen".