5295628800 has 960 divisors, whose sum is σ = 24355584000. Its totient is φ = 1094860800.

The previous prime is 5295628787. The next prime is 5295628823. The reversal of 5295628800 is 88265925.

5295628800 is a `hidden beast` number, since 5 + 2 + 9 + 562 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26611101 + ... + 26611299.

It is an arithmetic number, because the mean of its divisors is an integer number (25370400).

Almost surely, 2^5295628800 is an apocalyptic number.

5295628800 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 5295628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177792000).

5295628800 is an abundant number, since it is smaller than the sum of its proper divisors (19059955200).

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

5295628800 is a wasteful number, since it uses less digits than its factorization.

5295628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5295628800 is about 72771.0711752960. The cubic root of 5295628800 is about 1743.0339457960.

The spelling of 5295628800 in words is "five billion, two hundred ninety-five million, six hundred twenty-eight thousand, eight hundred".