25996844160 has 384 divisors, whose sum is σ = 107107833600. Its totient is φ = 5941942272.

The previous prime is 25996844141. The next prime is 25996844177. The reversal of 25996844160 is 6144869952.

25996844160 is a `hidden beast` number, since 2 + 59 + 96 + 8 + 441 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×25996844160² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 25996844097 and 25996844106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 831369 + ... + 862071.

It is an arithmetic number, because the mean of its divisors is an integer number (278926650).

Almost surely, 2^25996844160 is an apocalyptic number.

25996844160 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 25996844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53553916800).

25996844160 is an abundant number, since it is smaller than the sum of its proper divisors (81110989440).

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

25996844160 is a wasteful number, since it uses less digits than its factorization.

25996844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30745 (or 30720 counting only the distinct ones).

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

The spelling of 25996844160 in words is "twenty-five billion, nine hundred ninety-six million, eight hundred forty-four thousand, one hundred sixty".