25788699688752 has 1440 divisors, whose sum is σ = 101400100978176. Its totient is φ = 6011034624000.

The previous prime is 25788699688751. The next prime is 25788699688769.

25788699688752 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25788699688751) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 10109249877 + ... + 10109252427.

Almost surely, 2^{25788699688752} is an apocalyptic number.

25788699688752 is a gapful number since it is divisible by the number (22) 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 25788699688752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50700050489088).

25788699688752 is an abundant number, since it is smaller than the sum of its proper divisors (75611401289424).

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

25788699688752 is a wasteful number, since it uses less digits than its factorization.

25788699688752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2863 counting only the distinct ones).

The product of its digits is 58525286400, while the sum is 90.

The spelling of 25788699688752 in words is "twenty-five trillion, seven hundred eighty-eight billion, six hundred ninety-nine million, six hundred eighty-eight thousand, seven hundred fifty-two".