55717600 has 72 divisors (see below), whose sum is σ = 137053728. Its totient is φ = 22118400.

The previous prime is 55717589. The next prime is 55717603. The reversal of 55717600 is 671755.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55717603) 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, 205465 + ... + 205735.

It is an arithmetic number, because the mean of its divisors is an integer number (1903524).

Almost surely, 2^55717600 is an apocalyptic number.

55717600 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 55717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68526864).

55717600 is an abundant number, since it is smaller than the sum of its proper divisors (81336128).

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

55717600 is a wasteful number, since it uses less digits than its factorization.

55717600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 55717600 is about 7464.4222817309. The cubic root of 55717600 is about 381.9420432344.

The spelling of 55717600 in words is "fifty-five million, seven hundred seventeen thousand, six hundred".