24998772100 has 81 divisors (see below), whose sum is σ = 55150686927. Its totient is φ = 9835706880.

The previous prime is 24998772083. The next prime is 24998772107. The reversal of 24998772100 is 127789942.

The square root of 24998772100 is 158110.

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

It can be written as a sum of positive squares in 4 ways, for example, as 919181124 + 24079590976 = 30318^2 + 155176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24998772107) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 153366619 + ... + 153366781.

Almost surely, 2^24998772100 is an apocalyptic number.

24998772100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24998772100 is the 158110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24998772100

24998772100 is an abundant number, since it is smaller than the sum of its proper divisors (30151914827).

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

24998772100 is an equidigital number, since it uses as much as digits as its factorization.

24998772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

Multiplying 24998772100 by its sum of digits (49), we get a square (1224939832900 = 1106770²).

The spelling of 24998772100 in words is "twenty-four billion, nine hundred ninety-eight million, seven hundred seventy-two thousand, one hundred".