25405240311264 has 192 divisors, whose sum is σ = 72901394012160. Its totient is φ = 7682693598720.

The previous prime is 25405240311247. The next prime is 25405240311349. The reversal of 25405240311264 is 46211304250452.

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, 1730241267 + ... + 1730255949.

It is an arithmetic number, because the mean of its divisors is an integer number (379694760480).

Almost surely, 2^{25405240311264} is an apocalyptic number.

25405240311264 is a gapful number since it is divisible by the number (24) 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 25405240311264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36450697006080).

25405240311264 is an abundant number, since it is smaller than the sum of its proper divisors (47496153700896).

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

25405240311264 is a wasteful number, since it uses less digits than its factorization.

25405240311264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17973 (or 17965 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 25405240311264 in words is "twenty-five trillion, four hundred five billion, two hundred forty million, three hundred eleven thousand, two hundred sixty-four".