25253931648 has 256 divisors, whose sum is σ = 75428559360. Its totient is φ = 7420170240.

The previous prime is 25253931631. The next prime is 25253931733. The reversal of 25253931648 is 84613935252.

It is a super-2 number, since 2×25253931648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 25253931597 and 25253931606.

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, 29605590 + ... + 29606442.

It is an arithmetic number, because the mean of its divisors is an integer number (294642810).

Almost surely, 2^25253931648 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 25253931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37714279680).

25253931648 is an abundant number, since it is smaller than the sum of its proper divisors (50174627712).

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

25253931648 is a wasteful number, since it uses less digits than its factorization.

25253931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1075 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The spelling of 25253931648 in words is "twenty-five billion, two hundred fifty-three million, nine hundred thirty-one thousand, six hundred forty-eight".