25723645271808 has 864 divisors, whose sum is σ = 84543653940480. Its totient is φ = 6853961318400.

The previous prime is 25723645271801. The next prime is 25723645271827. The reversal of 25723645271808 is 80817254632752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25723645271801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4002431091 + ... + 4002437517.

It is an arithmetic number, because the mean of its divisors is an integer number (97851451320).

Almost surely, 2^{25723645271808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25723645271808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42271826970240).

25723645271808 is an abundant number, since it is smaller than the sum of its proper divisors (58820008668672).

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

25723645271808 is a wasteful number, since it uses less digits than its factorization.

25723645271808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6565 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 25723645271808 in words is "twenty-five trillion, seven hundred twenty-three billion, six hundred forty-five million, two hundred seventy-one thousand, eight hundred eight".