25998119938560 has 1920 divisors, whose sum is σ = 106803868114944. Its totient is φ = 5279662080000.

The previous prime is 25998119938523. The next prime is 25998119938591. The reversal of 25998119938560 is 6583991189952.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83595240805 + ... + 83595241115.

Almost surely, 2^{25998119938560} is an apocalyptic number.

25998119938560 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 25998119938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53401934057472).

25998119938560 is an abundant number, since it is smaller than the sum of its proper divisors (80805748176384).

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

25998119938560 is a wasteful number, since it uses less digits than its factorization.

25998119938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 75.

The spelling of 25998119938560 in words is "twenty-five trillion, nine hundred ninety-eight billion, one hundred nineteen million, nine hundred thirty-eight thousand, five hundred sixty".