25406971968 has 168 divisors, whose sum is σ = 79142307552. Its totient is φ = 7171454976.

The previous prime is 25406971951. The next prime is 25406972009. The reversal of 25406971968 is 86917960452.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764596 + ... + 797132.

It is an arithmetic number, because the mean of its divisors is an integer number (471085164).

Almost surely, 2^25406971968 is an apocalyptic number.

25406971968 is a gapful number since it is divisible by the number (28) 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 25406971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39571153776).

25406971968 is an abundant number, since it is smaller than the sum of its proper divisors (53735335584).

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

25406971968 is a wasteful number, since it uses less digits than its factorization.

25406971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32649 (or 32632 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 25406971968 in words is "twenty-five billion, four hundred six million, nine hundred seventy-one thousand, nine hundred sixty-eight".