25635280897296 has 640 divisors, whose sum is σ = 92031966720000. Its totient is φ = 6807911265792.

The previous prime is 25635280897279. The next prime is 25635280897307. The reversal of 25635280897296 is 69279808253652.

25635280897296 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 528 + 0 + 8 + 9 + 7 + 2 + 96 = 666.

It is a super-2 number, since 2×25635280897296² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149127331 + ... + 149299133.

It is an arithmetic number, because the mean of its divisors is an integer number (143799948000).

Almost surely, 2^{25635280897296} 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 25635280897296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46015983360000).

25635280897296 is an abundant number, since it is smaller than the sum of its proper divisors (66396685822704).

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

25635280897296 is a wasteful number, since it uses less digits than its factorization.

25635280897296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171913 (or 171887 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 25635280897296 in words is "twenty-five trillion, six hundred thirty-five billion, two hundred eighty million, eight hundred ninety-seven thousand, two hundred ninety-six".