55582400 has 42 divisors (see below), whose sum is σ = 136771380. Its totient is φ = 22232320.

The previous prime is 55582381. The next prime is 55582403. The reversal of 55582400 is 428555.

It is not an unprimeable number, because it can be changed into a prime (55582403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15770 + ... + 18969.

Almost surely, 2^55582400 is an apocalyptic number.

55582400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55582400 is an abundant number, since it is smaller than the sum of its proper divisors (81188980).

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

55582400 is a wasteful number, since it uses less digits than its factorization.

55582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34761 (or 34746 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 55582400 is about 7455.3604875955. The cubic root of 55582400 is about 381.6328627240.

The spelling of 55582400 in words is "fifty-five million, five hundred eighty-two thousand, four hundred".