5088412800 has 576 divisors, whose sum is σ = 20273479200. Its totient is φ = 1207664640.

The previous prime is 5088412799. The next prime is 5088412867. The reversal of 5088412800 is 82148805.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 9302127 + ... + 9302673.

Almost surely, 2^5088412800 is an apocalyptic number.

5088412800 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 5088412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136739600).

5088412800 is an abundant number, since it is smaller than the sum of its proper divisors (15185066400).

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

5088412800 is a wasteful number, since it uses less digits than its factorization.

5088412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 5088412800 is about 71333.1115261349. Note that the first 3 decimals coincide. The cubic root of 5088412800 is about 1719.9960338830.

The spelling of 5088412800 in words is "five billion, eighty-eight million, four hundred twelve thousand, eight hundred".