25960144896 has 560 divisors, whose sum is σ = 92868804864. Its totient is φ = 7094697984.

The previous prime is 25960144871. The next prime is 25960144897. The reversal of 25960144896 is 69844106952.

25960144896 is a `hidden beast` number, since 2 + 59 + 60 + 1 + 448 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25960144897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1128701941 + ... + 1128701963.

Almost surely, 2^25960144896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25960144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46434402432).

25960144896 is an abundant number, since it is smaller than the sum of its proper divisors (66908659968).

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

25960144896 is an frugal number, since it uses more digits than its factorization.

25960144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 25960144896 in words is "twenty-five billion, nine hundred sixty million, one hundred forty-four thousand, eight hundred ninety-six".