25819404975 has 288 divisors, whose sum is σ = 60056156160. Its totient is φ = 10305377280.

The previous prime is 25819404943. The next prime is 25819404977. The reversal of 25819404975 is 57940491852.

It is a happy number.

It is not a de Polignac number, because 25819404975 - 2⁵ = 25819404943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25819404977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51330574 + ... + 51331076.

It is an arithmetic number, because the mean of its divisors is an integer number (208528320).

Almost surely, 2^25819404975 is an apocalyptic number.

25819404975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25819404975 is an abundant number, since it is smaller than the sum of its proper divisors (34236751185).

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

25819404975 is a wasteful number, since it uses less digits than its factorization.

25819404975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 25819404975 in words is "twenty-five billion, eight hundred nineteen million, four hundred four thousand, nine hundred seventy-five".