25676328960 has 156 divisors (see below), whose sum is σ = 89001046992. Its totient is φ = 6846971904.

The previous prime is 25676328917. The next prime is 25676328971. The reversal of 25676328960 is 6982367652.

25676328960 is a `hidden beast` number, since 256 + 7 + 6 + 328 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25676328897 and 25676328906.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114669 + ... + 253971.

It is an arithmetic number, because the mean of its divisors is an integer number (570519532).

Almost surely, 2^25676328960 is an apocalyptic number.

25676328960 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 25676328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44500523496).

25676328960 is an abundant number, since it is smaller than the sum of its proper divisors (63324718032).

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

25676328960 is a wasteful number, since it uses less digits than its factorization.

25676328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139338 (or 139313 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 25676328960 in words is "twenty-five billion, six hundred seventy-six million, three hundred twenty-eight thousand, nine hundred sixty".