25535895966 has 72 divisors (see below), whose sum is σ = 64537068960. Its totient is φ = 7275998016.

The previous prime is 25535895961. The next prime is 25535895977. The reversal of 25535895966 is 66959853552.

25535895966 is a `hidden beast` number, since 2 + 5 + 5 + 35 + 8 + 9 + 596 + 6 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25535895961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284250 + ... + 363138.

It is an arithmetic number, because the mean of its divisors is an integer number (896348180).

Almost surely, 2^25535895966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25535895966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32268534480).

25535895966 is an abundant number, since it is smaller than the sum of its proper divisors (39001172994).

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

25535895966 is a wasteful number, since it uses less digits than its factorization.

25535895966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79278 (or 79268 counting only the distinct ones).

The product of its digits is 87480000, while the sum is 63.

The spelling of 25535895966 in words is "twenty-five billion, five hundred thirty-five million, eight hundred ninety-five thousand, nine hundred sixty-six".