5295368800 has 36 divisors (see below), whose sum is σ = 12927321036. Its totient is φ = 2118147200.

The previous prime is 5295368797. The next prime is 5295368801. The reversal of 5295368800 is 88635925.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5295368801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3308806 + ... + 3310405.

It is an arithmetic number, because the mean of its divisors is an integer number (359092251).

Almost surely, 2^5295368800 is an apocalyptic number.

5295368800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5295368800 is an abundant number, since it is smaller than the sum of its proper divisors (7631952236).

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

5295368800 is a wasteful number, since it uses less digits than its factorization.

5295368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619231 (or 6619218 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The square root of 5295368800 is about 72769.2847292043. The cubic root of 5295368800 is about 1743.0054193603.

The spelling of 5295368800 in words is "five billion, two hundred ninety-five million, three hundred sixty-eight thousand, eight hundred".