25648965760 has 128 divisors (see below), whose sum is σ = 66979042560. Its totient is φ = 9314672640.

The previous prime is 25648965751. The next prime is 25648965761. The reversal of 25648965760 is 6756984652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 25648965695 and 25648965704.

It is not an unprimeable number, because it can be changed into a prime (25648965761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6707209 + ... + 6711031.

It is an arithmetic number, because the mean of its divisors is an integer number (523273770).

Almost surely, 2^25648965760 is an apocalyptic number.

25648965760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25648965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33489521280).

25648965760 is an abundant number, since it is smaller than the sum of its proper divisors (41330076800).

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

25648965760 is a wasteful number, since it uses less digits than its factorization.

25648965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 25648965760 in words is "twenty-five billion, six hundred forty-eight million, nine hundred sixty-five thousand, seven hundred sixty".