24972807398400 has 891 divisors, whose sum is σ = 92862710009251. Its totient is φ = 6411870044160.

The previous prime is 24972807398369. The next prime is 24972807398401. The reversal of 24972807398400 is 489370827942.

The square root of 24972807398400 is 4997280.

It is a perfect power (a square), and thus also a powerful number.

24972807398400 is a `hidden beast` number, since 2 + 4 + 9 + 72 + 8 + 0 + 73 + 98 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 343264748544 + 24629542649856 = 585888^2 + 4962816^2 .

It is a super-2 number, since 2×24972807398400² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24972807398401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69562137421 + ... + 69562137779.

Almost surely, 2^{24972807398400} is an apocalyptic number.

24972807398400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24972807398400 is the 4997280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24972807398400

24972807398400 is an abundant number, since it is smaller than the sum of its proper divisors (67889902610851).

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

24972807398400 is an equidigital number, since it uses as much as digits as its factorization.

24972807398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 24972807398400 in words is "twenty-four trillion, nine hundred seventy-two billion, eight hundred seven million, three hundred ninety-eight thousand, four hundred".