55779120 has 60 divisors (see below), whose sum is σ = 187327296. Its totient is φ = 14874240.

The previous prime is 55779109. The next prime is 55779181. The reversal of 55779120 is 2197755.

55779120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×55779120² = 6222620455948800, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38016 + ... + 39455.

Almost surely, 2^55779120 is an apocalyptic number.

It is an amenable number.

55779120 is an abundant number, since it is smaller than the sum of its proper divisors (131548176).

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

55779120 is a wasteful number, since it uses less digits than its factorization.

55779120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77490 (or 77481 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 55779120 is about 7468.5420263931. The cubic root of 55779120 is about 382.0825639542.

The spelling of 55779120 in words is "fifty-five million, seven hundred seventy-nine thousand, one hundred twenty".