55156800 has 84 divisors (see below), whose sum is σ = 180976016. Its totient is φ = 14707200.

The previous prime is 55156793. The next prime is 55156813. The reversal of 55156800 is 865155.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946 + ... + 10545.

Almost surely, 2^55156800 is an apocalyptic number.

55156800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90488008).

55156800 is an abundant number, since it is smaller than the sum of its proper divisors (125819216).

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

55156800 is a wasteful number, since it uses less digits than its factorization.

55156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11516 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 55156800 is about 7426.7624170967. The cubic root of 55156800 is about 380.6562989084.

The spelling of 55156800 in words is "fifty-five million, one hundred fifty-six thousand, eight hundred".