56055168 has 192 divisors, whose sum is σ = 183783600. Its totient is φ = 16257024.

The previous prime is 56055151. The next prime is 56055191. The reversal of 56055168 is 86155065.

It is a Cunningham number, because it is equal to 7487²-1.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 284446 + ... + 284642.

Almost surely, 2^56055168 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 56055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91891800).

56055168 is an abundant number, since it is smaller than the sum of its proper divisors (127728432).

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

56055168 is a wasteful number, since it uses less digits than its factorization.

56055168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

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

The square root of 56055168 is about 7486.9999332176. Note that the first 4 decimals coincide. The cubic root of 56055168 is about 382.7118293539.

The spelling of 56055168 in words is "fifty-six million, fifty-five thousand, one hundred sixty-eight".