55877120 has 160 divisors (see below), whose sum is σ = 152615232. Its totient is φ = 19464192.

The previous prime is 55877093. The next prime is 55877161. The reversal of 55877120 is 2177855.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765404 + ... + 765476.

Almost surely, 2^55877120 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 55877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76307616).

55877120 is an abundant number, since it is smaller than the sum of its proper divisors (96738112).

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

55877120 is a wasteful number, since it uses less digits than its factorization.

55877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 55877120 is about 7475.0999993311. The cubic root of 55877120 is about 382.3061971212.

The spelling of 55877120 in words is "fifty-five million, eight hundred seventy-seven thousand, one hundred twenty".