25713325946880 has 2304 divisors, whose sum is σ = 109622738534400. Its totient is φ = 5698690744320.

The previous prime is 25713325946879. The next prime is 25713325946897. The reversal of 25713325946880 is 8864952331752.

25713325946880 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 3 + 32 + 594 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×25713325946880² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 45190379236 + ... + 45190379804.

It is an arithmetic number, because the mean of its divisors is an integer number (47579313600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅25713325946880 = 51426651893760, but 3⋅25713325946880 = 77139977840640 is not.

Almost surely, 2^{25713325946880} is an apocalyptic number.

25713325946880 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 25713325946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54811369267200).

25713325946880 is an abundant number, since it is smaller than the sum of its proper divisors (83909412587520).

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

25713325946880 is a wasteful number, since it uses less digits than its factorization.

25713325946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 25713325946880 in words is "twenty-five trillion, seven hundred thirteen billion, three hundred twenty-five million, nine hundred forty-six thousand, eight hundred eighty".