55292800 has 96 divisors (see below), whose sum is σ = 140582520. Its totient is φ = 21473280.

The previous prime is 55292791. The next prime is 55292803. The reversal of 55292800 is 829255.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55292803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118167 + ... + 118633.

Almost surely, 2^55292800 is an apocalyptic number.

55292800 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 55292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70291260).

55292800 is an abundant number, since it is smaller than the sum of its proper divisors (85289720).

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

55292800 is a wasteful number, since it uses less digits than its factorization.

55292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 55292800 is about 7435.9128558638. The cubic root of 55292800 is about 380.9689032517.

The spelling of 55292800 in words is "fifty-five million, two hundred ninety-two thousand, eight hundred".