55599120 has 240 divisors, whose sum is σ = 200558592. Its totient is φ = 13777920.

The previous prime is 55599109. The next prime is 55599161. The reversal of 55599120 is 2199555.

55599120 is a `hidden beast` number, since 55 + 599 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049014 + ... + 1049066.

Almost surely, 2^55599120 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 55599120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100279296).

55599120 is an abundant number, since it is smaller than the sum of its proper divisors (144959472).

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

55599120 is a wasteful number, since it uses less digits than its factorization.

55599120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

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

The square root of 55599120 is about 7456.4817440935. The cubic root of 55599120 is about 381.6711258057.

The spelling of 55599120 in words is "fifty-five million, five hundred ninety-nine thousand, one hundred twenty".