25165070883162 has 192 divisors, whose sum is σ = 64731415117824. Its totient is φ = 6914087631360.

The previous prime is 25165070883151. The next prime is 25165070883167. The reversal of 25165070883162 is 26138807056152.

25165070883162 is a `hidden beast` number, since 2 + 51 + 6 + 507 + 0 + 8 + 83 + 1 + 6 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25165070883099 and 25165070883108.

It is not an unprimeable number, because it can be changed into a prime (25165070883167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476431378 + ... + 476484194.

It is an arithmetic number, because the mean of its divisors is an integer number (337142787072).

Almost surely, 2^{25165070883162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25165070883162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32365707558912).

25165070883162 is an abundant number, since it is smaller than the sum of its proper divisors (39566344234662).

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

25165070883162 is a wasteful number, since it uses less digits than its factorization.

25165070883162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53633 (or 53630 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 25165070883162 in words is "twenty-five trillion, one hundred sixty-five billion, seventy million, eight hundred eighty-three thousand, one hundred sixty-two".