5327056800 has 576 divisors, whose sum is σ = 21156145920. Its totient is φ = 1285632000.

The previous prime is 5327056753. The next prime is 5327056807. The reversal of 5327056800 is 86507235.

5327056800 is a `hidden beast` number, since 532 + 70 + 56 + 8 + 0 + 0 = 666.

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 (5327056807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17128645 + ... + 17128955.

It is an arithmetic number, because the mean of its divisors is an integer number (36729420).

Almost surely, 2^5327056800 is an apocalyptic number.

5327056800 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 5327056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10578072960).

5327056800 is an abundant number, since it is smaller than the sum of its proper divisors (15829089120).

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

5327056800 is a wasteful number, since it uses less digits than its factorization.

5327056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5327056800 is about 72986.6891974146. The cubic root of 5327056800 is about 1746.4752783194.

The spelling of 5327056800 in words is "five billion, three hundred twenty-seven million, fifty-six thousand, eight hundred".