55959120 has 160 divisors (see below), whose sum is σ = 220343040. Its totient is φ = 12787200.

The previous prime is 55959119. The next prime is 55959131. The reversal of 55959120 is 2195955.

It is a super-2 number, since 2×55959120² = 6262846222348800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 13270 + ... + 16970.

It is an arithmetic number, because the mean of its divisors is an integer number (1377144).

Almost surely, 2^55959120 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 55959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110171520).

55959120 is an abundant number, since it is smaller than the sum of its proper divisors (164383920).

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

55959120 is a wasteful number, since it uses less digits than its factorization.

55959120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 55959120 is about 7480.5828649912. The cubic root of 55959120 is about 382.4931179077.

The spelling of 55959120 in words is "fifty-five million, nine hundred fifty-nine thousand, one hundred twenty".