55311120 has 160 divisors (see below), whose sum is σ = 197308800. Its totient is φ = 14224896.

The previous prime is 55311101. The next prime is 55311121. The reversal of 55311120 is 2111355.

55311120 is a `hidden beast` number, since 553 + 1 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 55311093 and 55311102.

It is not an unprimeable number, because it can be changed into a prime (55311121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62199 + ... + 63081.

It is an arithmetic number, because the mean of its divisors is an integer number (1233180).

Almost surely, 2^55311120 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 55311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654400).

55311120 is an abundant number, since it is smaller than the sum of its proper divisors (141997680).

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

55311120 is a wasteful number, since it uses less digits than its factorization.

55311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 55311120 is about 7437.1446133580. The cubic root of 55311120 is about 381.0109737059.

Adding to 55311120 its reverse (2111355), we get a palindrome (57422475).

The spelling of 55311120 in words is "fifty-five million, three hundred eleven thousand, one hundred twenty".