25345040135256 has 96 divisors (see below), whose sum is σ = 70328649081600. Its totient is φ = 8240927777280.

The previous prime is 25345040135251. The next prime is 25345040135279. The reversal of 25345040135256 is 65253104054352.

25345040135256 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 504 + 0 + 135 + 2 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25345040135251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17239030 + ... + 18651386.

It is an arithmetic number, because the mean of its divisors is an integer number (732590094600).

Almost surely, 2^{25345040135256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25345040135256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35164324540800).

25345040135256 is an abundant number, since it is smaller than the sum of its proper divisors (44983608946344).

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

25345040135256 is a wasteful number, since it uses less digits than its factorization.

25345040135256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418489 (or 1418482 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 25345040135256 in words is "twenty-five trillion, three hundred forty-five billion, forty million, one hundred thirty-five thousand, two hundred fifty-six".