25663899836652 has 192 divisors, whose sum is σ = 75405202489344. Its totient is φ = 6599326037760.

The previous prime is 25663899836647. The next prime is 25663899836699.

25663899836652 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×25663899836652³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 346103493 + ... + 346177635.

It is an arithmetic number, because the mean of its divisors is an integer number (392735429632).

Almost surely, 2^{25663899836652} is an apocalyptic number.

25663899836652 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 25663899836652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37702601244672).

25663899836652 is an abundant number, since it is smaller than the sum of its proper divisors (49741302652692).

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

25663899836652 is a wasteful number, since it uses less digits than its factorization.

25663899836652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77908 (or 77906 counting only the distinct ones).

The product of its digits is 6046617600, while the sum is 78.

The spelling of 25663899836652 in words is "twenty-five trillion, six hundred sixty-three billion, eight hundred ninety-nine million, eight hundred thirty-six thousand, six hundred fifty-two".