55756800 has 324 divisors, whose sum is σ = 219487905. Its totient is φ = 13516800.

The previous prime is 55756793. The next prime is 55756801. The reversal of 55756800 is 865755.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55756800 is a `hidden beast` number, since 5 + 575 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 1115136 = 7392^2 + 1056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5280.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55756801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5068795 + ... + 5068805.

Almost surely, 2^55756800 is an apocalyptic number.

55756800 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 55756800

55756800 is an abundant number, since it is smaller than the sum of its proper divisors (163731105).

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

55756800 is a wasteful number, since it uses less digits than its factorization.

55756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55756800 is about 7467.0476093299. The cubic root of 55756800 is about 382.0315937430.

The spelling of 55756800 in words is "fifty-five million, seven hundred fifty-six thousand, eight hundred".