25664013648 has 320 divisors, whose sum is σ = 93594009600. Its totient is φ = 6549880320.

The previous prime is 25664013647. The next prime is 25664013689. The reversal of 25664013648 is 84631046652.

25664013648 is a `hidden beast` number, since 2 + 566 + 40 + 1 + 3 + 6 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25664013647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1208143 + ... + 1229201.

It is an arithmetic number, because the mean of its divisors is an integer number (292481280).

Almost surely, 2^25664013648 is an apocalyptic number.

25664013648 is a gapful number since it is divisible by the number (28) 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 25664013648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46797004800).

25664013648 is an abundant number, since it is smaller than the sum of its proper divisors (67929995952).

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

25664013648 is a wasteful number, since it uses less digits than its factorization.

25664013648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21127 (or 21115 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25664013648 in words is "twenty-five billion, six hundred sixty-four million, thirteen thousand, six hundred forty-eight".