25975666080 has 576 divisors, whose sum is σ = 114850794240. Its totient is φ = 5191630848.

The previous prime is 25975666043. The next prime is 25975666097. The reversal of 25975666080 is 8066657952.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2484544 + ... + 2494976.

It is an arithmetic number, because the mean of its divisors is an integer number (199393740).

Almost surely, 2^25975666080 is an apocalyptic number.

25975666080 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 25975666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57425397120).

25975666080 is an abundant number, since it is smaller than the sum of its proper divisors (88875128160).

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

25975666080 is a wasteful number, since it uses less digits than its factorization.

25975666080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10493 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 25975666080 in words is "twenty-five billion, nine hundred seventy-five million, six hundred sixty-six thousand, eighty".