25683638652 has 192 divisors, whose sum is σ = 78938926080. Its totient is φ = 7068384000.

The previous prime is 25683638633. The next prime is 25683638693.

25683638652 is a `hidden beast` number, since 256 + 8 + 3 + 6 + 386 + 5 + 2 = 666.

25683638652 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2820627 + ... + 2829717.

It is an arithmetic number, because the mean of its divisors is an integer number (411140240).

Almost surely, 2^25683638652 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 25683638652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39469463040).

25683638652 is an abundant number, since it is smaller than the sum of its proper divisors (53255287428).

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

25683638652 is a wasteful number, since it uses less digits than its factorization.

25683638652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9241 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 25683638652 in words is "twenty-five billion, six hundred eighty-three million, six hundred thirty-eight thousand, six hundred fifty-two".