55586400 has 288 divisors, whose sum is σ = 202487040. Its totient is φ = 13178880.

The previous prime is 55586389. The next prime is 55586431. The reversal of 55586400 is 468555.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048774 + ... + 1048826.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^55586400 is an apocalyptic number.

55586400 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 55586400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

55586400 is an abundant number, since it is smaller than the sum of its proper divisors (146900640).

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

55586400 is a wasteful number, since it uses less digits than its factorization.

55586400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 55586400 is about 7455.6287461220. The cubic root of 55586400 is about 381.6420172695.

The spelling of 55586400 in words is "fifty-five million, five hundred eighty-six thousand, four hundred".