5292268800 has 648 divisors, whose sum is σ = 21706985664. Its totient is φ = 1111818240.

The previous prime is 5292268799. The next prime is 5292268823. The reversal of 5292268800 is 88622925.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22713484 + ... + 22713716.

Almost surely, 2^5292268800 is an apocalyptic number.

5292268800 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 5292268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853492832).

5292268800 is an abundant number, since it is smaller than the sum of its proper divisors (16414716864).

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

5292268800 is a wasteful number, since it uses less digits than its factorization.

5292268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 5292268800 is about 72747.9814152943. The cubic root of 5292268800 is about 1742.6652245130.

The spelling of 5292268800 in words is "five billion, two hundred ninety-two million, two hundred sixty-eight thousand, eight hundred".