55368600 has 96 divisors (see below), whose sum is σ = 196177920. Its totient is φ = 12654720.

The previous prime is 55368589. The next prime is 55368617. The reversal of 55368600 is 686355.

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 23 ways as a sum of consecutive naturals, for example, 2392 + ... + 10791.

It is an arithmetic number, because the mean of its divisors is an integer number (2043520).

Almost surely, 2^55368600 is an apocalyptic number.

55368600 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 55368600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98088960).

55368600 is an abundant number, since it is smaller than the sum of its proper divisors (140809320).

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

55368600 is a wasteful number, since it uses less digits than its factorization.

55368600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13209 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 55368600 is about 7441.0079962328. The cubic root of 55368600 is about 381.1429117846.

The spelling of 55368600 in words is "fifty-five million, three hundred sixty-eight thousand, six hundred".