55331120 has 80 divisors (see below), whose sum is σ = 140428512. Its totient is φ = 20152320.

The previous prime is 55331119. The next prime is 55331137. The reversal of 55331120 is 2113355.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 55331092 and 55331101.

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, 86000 + ... + 86640.

Almost surely, 2^55331120 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 55331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70214256).

55331120 is an abundant number, since it is smaller than the sum of its proper divisors (85097392).

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

55331120 is a wasteful number, since it uses less digits than its factorization.

55331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 55331120 is about 7438.4890938953. The cubic root of 55331120 is about 381.0568915442.

Adding to 55331120 its reverse (2113355), we get a palindrome (57444475).

It can be divided in two parts, 5533 and 1120, that multiplied together give a triangular number (6196960 = T₃₅₂₀).

The spelling of 55331120 in words is "fifty-five million, three hundred thirty-one thousand, one hundred twenty".