25969544640 has 672 divisors, whose sum is σ = 99672745536. Its totient is φ = 6166609920.

The previous prime is 25969544639. The next prime is 25969544647. The reversal of 25969544640 is 4644596952.

25969544640 is a `hidden beast` number, since 2 + 5 + 96 + 9 + 544 + 6 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25969544647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189558652 + ... + 189558788.

It is an arithmetic number, because the mean of its divisors is an integer number (148322538).

Almost surely, 2^25969544640 is an apocalyptic number.

25969544640 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 25969544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49836372768).

25969544640 is an abundant number, since it is smaller than the sum of its proper divisors (73703200896).

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

25969544640 is a wasteful number, since it uses less digits than its factorization.

25969544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 25969544640 in words is "twenty-five billion, nine hundred sixty-nine million, five hundred forty-four thousand, six hundred forty".