55884800 has 132 divisors (see below), whose sum is σ = 144681960. Its totient is φ = 21381120.

The previous prime is 55884781. The next prime is 55884839. The reversal of 55884800 is 848855.

It is a super-2 number, since 2×55884800² = 6246221742080000, which contains 22 as substring.

It is a congruent number.

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, 947171 + ... + 947229.

Almost surely, 2^55884800 is an apocalyptic number.

55884800 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 55884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72340980).

55884800 is an abundant number, since it is smaller than the sum of its proper divisors (88797160).

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

55884800 is a wasteful number, since it uses less digits than its factorization.

55884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 38.

The square root of 55884800 is about 7475.6136871831. The cubic root of 55884800 is about 382.3237116071.

It can be divided in two parts, 558 and 84800, that added together give a palindrome (85358).

The spelling of 55884800 in words is "fifty-five million, eight hundred eighty-four thousand, eight hundred".