25926082560 has 896 divisors, whose sum is σ = 112106903040. Its totient is φ = 5549064192.

The previous prime is 25926082489. The next prime is 25926082571. The reversal of 25926082560 is 6528062952.

25926082560 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 6 + 0 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 131604382 + ... + 131604578.

Almost surely, 2^25926082560 is an apocalyptic number.

25926082560 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 25926082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56053451520).

25926082560 is an abundant number, since it is smaller than the sum of its proper divisors (86180820480).

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

25926082560 is a wasteful number, since it uses less digits than its factorization.

25926082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25926082560 in words is "twenty-five billion, nine hundred twenty-six million, eighty-two thousand, five hundred sixty".