55155360 has 96 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 13575168.

The previous prime is 55155349. The next prime is 55155377. The reversal of 55155360 is 6355155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×55155360² = 6084227473459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821 + ... + 10659.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^55155360 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 55155360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

55155360 is an abundant number, since it is smaller than the sum of its proper divisors (131969760).

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

55155360 is a wasteful number, since it uses less digits than its factorization.

55155360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8862 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The square root of 55155360 is about 7426.6654697785. The cubic root of 55155360 is about 380.6529862322.

It can be divided in two parts, 551553 and 60, that multiplied together give a triangular number (33093180 = T₈₁₃₅).

The spelling of 55155360 in words is "fifty-five million, one hundred fifty-five thousand, three hundred sixty".