25657688675652 has 96 divisors (see below), whose sum is σ = 66909076182144. Its totient is φ = 7584780211200.

The previous prime is 25657688675651. The next prime is 25657688675669.

It is a happy number.

25657688675652 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25657688675651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65815818 + ... + 66204510.

It is an arithmetic number, because the mean of its divisors is an integer number (696969543564).

Almost surely, 2^{25657688675652} is an apocalyptic number.

25657688675652 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 25657688675652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454538091072).

25657688675652 is an abundant number, since it is smaller than the sum of its proper divisors (41251387506492).

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

25657688675652 is a wasteful number, since it uses less digits than its factorization.

25657688675652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400949 (or 400947 counting only the distinct ones).

The product of its digits is 10160640000, while the sum is 78.

The spelling of 25657688675652 in words is "twenty-five trillion, six hundred fifty-seven billion, six hundred eighty-eight million, six hundred seventy-five thousand, six hundred fifty-two".