5125192800 has 576 divisors, whose sum is σ = 21222641664. Its totient is φ = 1045094400.

The previous prime is 5125192789. The next prime is 5125192819. The reversal of 5125192800 is 82915215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6770022 + ... + 6770778.

It is an arithmetic number, because the mean of its divisors is an integer number (36844864).

Almost surely, 2^5125192800 is an apocalyptic number.

5125192800 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 5125192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611320832).

5125192800 is an abundant number, since it is smaller than the sum of its proper divisors (16097448864).

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

5125192800 is a wasteful number, since it uses less digits than its factorization.

5125192800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 5125192800 is about 71590.4518773279. The cubic root of 5125192800 is about 1724.1302399620.

The spelling of 5125192800 in words is "five billion, one hundred twenty-five million, one hundred ninety-two thousand, eight hundred".