25269921944960 has 512 divisors, whose sum is σ = 79368076800000. Its totient is φ = 7453654179840.

The previous prime is 25269921944921. The next prime is 25269921944999. The reversal of 25269921944960 is 6944912996252.

It is an interprime number because it is at equal distance from previous prime (25269921944921) and next prime (25269921944999).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 886680791 + ... + 886709289.

It is an arithmetic number, because the mean of its divisors is an integer number (155015775000).

Almost surely, 2^{25269921944960} is an apocalyptic number.

25269921944960 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 25269921944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39684038400000).

25269921944960 is an abundant number, since it is smaller than the sum of its proper divisors (54098154855040).

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

25269921944960 is a wasteful number, since it uses less digits than its factorization.

25269921944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29502 (or 29490 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 68.

The spelling of 25269921944960 in words is "twenty-five trillion, two hundred sixty-nine billion, nine hundred twenty-one million, nine hundred forty-four thousand, nine hundred sixty".