55801872 has 100 divisors (see below), whose sum is σ = 184609216. Its totient is φ = 15940800.

The previous prime is 55801859. The next prime is 55801877. The reversal of 55801872 is 27810855.

55801872 is a `hidden beast` number, since 5 + 580 + 1 + 8 + 72 = 666.

It is a super-2 number, since 2×55801872² = 6227697837408768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55801877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5997 + ... + 12147.

Almost surely, 2^55801872 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 55801872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92304608).

55801872 is an abundant number, since it is smaller than the sum of its proper divisors (128807344).

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

55801872 is a wasteful number, since it uses less digits than its factorization.

55801872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 55801872 is about 7470.0650599576. The cubic root of 55801872 is about 382.1345066932.

The spelling of 55801872 in words is "fifty-five million, eight hundred one thousand, eight hundred seventy-two".