25957981440 has 288 divisors, whose sum is σ = 95090150400. Its totient is φ = 6698557440.

The previous prime is 25957981421. The next prime is 25957981481. The reversal of 25957981440 is 4418975952.

It is a happy number.

25957981440 is a `hidden beast` number, since 2 + 59 + 5 + 79 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059246 + ... + 1083474.

Almost surely, 2^25957981440 is an apocalyptic number.

25957981440 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 25957981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47545075200).

25957981440 is an abundant number, since it is smaller than the sum of its proper divisors (69132168960).

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

25957981440 is a wasteful number, since it uses less digits than its factorization.

25957981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24290 (or 24270 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 25957981440 in words is "twenty-five billion, nine hundred fifty-seven million, nine hundred eighty-one thousand, four hundred forty".