25813899904320 has 336 divisors, whose sum is σ = 96923347440192. Its totient is φ = 6253873643520.

The previous prime is 25813899904271. The next prime is 25813899904357. The reversal of 25813899904320 is 2340999831852.

25813899904320 is a `hidden beast` number, since 2 + 5 + 8 + 138 + 99 + 90 + 4 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48936699 + ... + 49461381.

It is an arithmetic number, because the mean of its divisors is an integer number (288462343572).

Almost surely, 2^{25813899904320} is an apocalyptic number.

25813899904320 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 25813899904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48461673720096).

25813899904320 is an abundant number, since it is smaller than the sum of its proper divisors (71109447535872).

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

25813899904320 is a wasteful number, since it uses less digits than its factorization.

25813899904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526270 (or 526257 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 25813899904320 in words is "twenty-five trillion, eight hundred thirteen billion, eight hundred ninety-nine million, nine hundred four thousand, three hundred twenty".