25263764352 has 256 divisors, whose sum is σ = 81200160000. Its totient is φ = 7702345728.

The previous prime is 25263764321. The next prime is 25263764401. The reversal of 25263764352 is 25346736252.

25263764352 is a `hidden beast` number, since 2 + 5 + 2 + 637 + 6 + 4 + 3 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25263764298 and 25263764307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1897623 + ... + 1910889.

It is an arithmetic number, because the mean of its divisors is an integer number (317188125).

Almost surely, 2^25263764352 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 25263764352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40600080000).

25263764352 is an abundant number, since it is smaller than the sum of its proper divisors (55936395648).

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

25263764352 is a wasteful number, since it uses less digits than its factorization.

25263764352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13338 (or 13320 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 25263764352 in words is "twenty-five billion, two hundred sixty-three million, seven hundred sixty-four thousand, three hundred fifty-two".