25023607680 has 128 divisors (see below), whose sum is σ = 79826734080. Its totient is φ = 6667610112.

The previous prime is 25023607649. The next prime is 25023607703. The reversal of 25023607680 is 8670632052.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2773737 + ... + 2782743.

It is an arithmetic number, because the mean of its divisors is an integer number (623646360).

Almost surely, 2^25023607680 is an apocalyptic number.

25023607680 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 25023607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39913367040).

25023607680 is an abundant number, since it is smaller than the sum of its proper divisors (54803126400).

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

25023607680 is a wasteful number, since it uses less digits than its factorization.

25023607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 25023607680 in words is "twenty-five billion, twenty-three million, six hundred seven thousand, six hundred eighty".