25737583872 has 288 divisors, whose sum is σ = 91974113280. Its totient is φ = 6170664960.

The previous prime is 25737583867. The next prime is 25737583873. The reversal of 25737583872 is 27838573752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25737583873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752029 + ... + 785507.

It is an arithmetic number, because the mean of its divisors is an integer number (319354560).

Almost surely, 2^25737583872 is an apocalyptic number.

25737583872 is a gapful number since it is divisible by the number (22) 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 25737583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45987056640).

25737583872 is an abundant number, since it is smaller than the sum of its proper divisors (66236529408).

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

25737583872 is a wasteful number, since it uses less digits than its factorization.

25737583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33529 (or 33515 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 57.

The spelling of 25737583872 in words is "twenty-five billion, seven hundred thirty-seven million, five hundred eighty-three thousand, eight hundred seventy-two".