25261949826048 has 352 divisors, whose sum is σ = 74622910096000. Its totient is φ = 7547452784640.

The previous prime is 25261949825977. The next prime is 25261949826133. The reversal of 25261949826048 is 84062894916252.

It is a super-2 number, since 2×25261949826048² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25261949826048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737321238 + ... + 737355498.

Almost surely, 2^{25261949826048} 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 25261949826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37311455048000).

25261949826048 is an abundant number, since it is smaller than the sum of its proper divisors (49360960269952).

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

25261949826048 is a wasteful number, since it uses less digits than its factorization.

25261949826048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34833 (or 34815 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 25261949826048 in words is "twenty-five trillion, two hundred sixty-one billion, nine hundred forty-nine million, eight hundred twenty-six thousand, forty-eight".