25826088960 has 1152 divisors, whose sum is σ = 112432320000. Its totient is φ = 5462360064.

The previous prime is 25826088947. The next prime is 25826088973. The reversal of 25826088960 is 6988062852.

25826088960 is a `hidden beast` number, since 25 + 8 + 2 + 608 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25826088947) and next prime (25826088973).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 25826088897 and 25826088906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600606699 + ... + 600606741.

It is an arithmetic number, because the mean of its divisors is an integer number (97597500).

Almost surely, 2^25826088960 is an apocalyptic number.

25826088960 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 25826088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56216160000).

25826088960 is an abundant number, since it is smaller than the sum of its proper divisors (86606231040).

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

25826088960 is a wasteful number, since it uses less digits than its factorization.

25826088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 25826088960 in words is "twenty-five billion, eight hundred twenty-six million, eighty-eight thousand, nine hundred sixty".