25263762500 has 72 divisors (see below), whose sum is σ = 55884313800. Its totient is φ = 9991520000.

The previous prime is 25263762481. The next prime is 25263762521. The reversal of 25263762500 is 526736252.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19714406464 + 5549356036 = 140408^2 + 74494^2 .

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 23 ways as a sum of consecutive naturals, for example, 1101146 + ... + 1123854.

It is an arithmetic number, because the mean of its divisors is an integer number (776171025).

Almost surely, 2^25263762500 is an apocalyptic number.

25263762500 is a gapful number since it is divisible by the number (20) 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 25263762500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27942156900).

25263762500 is an abundant number, since it is smaller than the sum of its proper divisors (30620551300).

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

25263762500 is an equidigital number, since it uses as much as digits as its factorization.

25263762500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22827 (or 22805 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 25263762500 in words is "twenty-five billion, two hundred sixty-three million, seven hundred sixty-two thousand, five hundred".