25957628928 has 704 divisors, whose sum is σ = 97627161600. Its totient is φ = 6617825280.

The previous prime is 25957628887. The next prime is 25957628951. The reversal of 25957628928 is 82982675952.

25957628928 is a `hidden beast` number, since 2 + 59 + 576 + 2 + 8 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189471676 + ... + 189471812.

Almost surely, 2^25957628928 is an apocalyptic number.

25957628928 is a gapful number since it is divisible by the number (28) 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 25957628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48813580800).

25957628928 is an abundant number, since it is smaller than the sum of its proper divisors (71669532672).

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

25957628928 is a wasteful number, since it uses less digits than its factorization.

25957628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 249 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 25957628928 in words is "twenty-five billion, nine hundred fifty-seven million, six hundred twenty-eight thousand, nine hundred twenty-eight".