25648864013520 has 240 divisors, whose sum is σ = 94053336129792. Its totient is φ = 6212267043840.

The previous prime is 25648864013473. The next prime is 25648864013527. The reversal of 25648864013520 is 2531046884652.

25648864013520 is a `hidden beast` number, since 2 + 5 + 6 + 48 + 8 + 64 + 0 + 13 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25648864013527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7267722 + ... + 10203798.

Almost surely, 2^{25648864013520} is an apocalyptic number.

25648864013520 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 25648864013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47026668064896).

25648864013520 is an abundant number, since it is smaller than the sum of its proper divisors (68404472116272).

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

25648864013520 is a wasteful number, since it uses less digits than its factorization.

25648864013520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937210 (or 2937201 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 25648864013520 in words is "twenty-five trillion, six hundred forty-eight billion, eight hundred sixty-four million, thirteen thousand, five hundred twenty".