25876035360 has 384 divisors, whose sum is σ = 103921574400. Its totient is φ = 5890682880.

The previous prime is 25876035307. The next prime is 25876035379. The reversal of 25876035360 is 6353067852.

25876035360 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 603 + 5 + 36 + 0 = 666.

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, 8132970 + ... + 8136150.

It is an arithmetic number, because the mean of its divisors is an integer number (270629100).

Almost surely, 2^25876035360 is an apocalyptic number.

25876035360 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 25876035360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51960787200).

25876035360 is an abundant number, since it is smaller than the sum of its proper divisors (78045539040).

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

25876035360 is a wasteful number, since it uses less digits than its factorization.

25876035360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 25876035360 in words is "twenty-five billion, eight hundred seventy-six million, thirty-five thousand, three hundred sixty".