25866875664 has 720 divisors, whose sum is σ = 94659941376. Its totient is φ = 6682072320.

The previous prime is 25866875663. The next prime is 25866875669. The reversal of 25866875664 is 46657866852.

It is a happy number.

25866875664 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 68 + 7 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25866875663) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 601555227 + ... + 601555269.

Almost surely, 2^25866875664 is an apocalyptic number.

25866875664 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 25866875664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47329970688).

25866875664 is an abundant number, since it is smaller than the sum of its proper divisors (68793065712).

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

25866875664 is a wasteful number, since it uses less digits than its factorization.

25866875664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 109 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 25866875664 in words is "twenty-five billion, eight hundred sixty-six million, eight hundred seventy-five thousand, six hundred sixty-four".