25895034668160 has 1024 divisors, whose sum is σ = 105890609664000. Its totient is φ = 5858293579776.

The previous prime is 25895034668143. The next prime is 25895034668161. The reversal of 25895034668160 is 6186643059852.

It is a happy number.

25895034668160 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 5 + 0 + 3 + 466 + 8 + 160 = 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 (25895034668161) 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 127 ways as a sum of consecutive naturals, for example, 5935142139 + ... + 5935146501.

It is an arithmetic number, because the mean of its divisors is an integer number (103408798500).

Almost surely, 2^{25895034668160} is an apocalyptic number.

25895034668160 is a gapful number since it is divisible by the number (20) 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 25895034668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52945304832000).

25895034668160 is an abundant number, since it is smaller than the sum of its proper divisors (79995574995840).

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

25895034668160 is a wasteful number, since it uses less digits than its factorization.

25895034668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 25895034668160 in words is "twenty-five trillion, eight hundred ninety-five billion, thirty-four million, six hundred sixty-eight thousand, one hundred sixty".