5925925324800 has 864 divisors, whose sum is σ = 23231431608840. Its totient is φ = 1434687897600.

The previous prime is 5925925324793. The next prime is 5925925324853. The reversal of 5925925324800 is 84235295295.

It is a happy number.

5925925324800 is a `hidden beast` number, since 5 + 9 + 2 + 592 + 5 + 3 + 2 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 41303245824 + 5884622078976 = 203232^2 + 2425824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365406292 + ... + 365422508.

Almost surely, 2^{5925925324800} is an apocalyptic number.

5925925324800 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 5925925324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615715804420).

5925925324800 is an abundant number, since it is smaller than the sum of its proper divisors (17305506284040).

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

5925925324800 is a wasteful number, since it uses less digits than its factorization.

5925925324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16329 (or 16301 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5925925324800 in words is "five trillion, nine hundred twenty-five billion, nine hundred twenty-five million, three hundred twenty-four thousand, eight hundred".