25669030464 has 448 divisors, whose sum is σ = 95046881280. Its totient is φ = 6599024640.

The previous prime is 25669030417. The next prime is 25669030489. The reversal of 25669030464 is 46403096652.

25669030464 is a `hidden beast` number, since 256 + 6 + 90 + 304 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13703832 + ... + 13705704.

Almost surely, 2^25669030464 is an apocalyptic number.

25669030464 is a gapful number since it is divisible by the number (24) 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 25669030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47523440640).

25669030464 is an abundant number, since it is smaller than the sum of its proper divisors (69377850816).

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

25669030464 is a wasteful number, since it uses less digits than its factorization.

25669030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 25669030464 in words is "twenty-five billion, six hundred sixty-nine million, thirty thousand, four hundred sixty-four".