25716661752 has 64 divisors (see below), whose sum is σ = 66039598080. Its totient is φ = 8341273472.

The previous prime is 25716661727. The next prime is 25716661777.

25716661752 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (25716661727) and next prime (25716661777).

It is a super-2 number, since 2×25716661752² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129253 + ... + 261035.

It is an arithmetic number, because the mean of its divisors is an integer number (1031868720).

Almost surely, 2^25716661752 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 25716661752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33019799040).

25716661752 is an abundant number, since it is smaller than the sum of its proper divisors (40322936328).

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

25716661752 is a wasteful number, since it uses less digits than its factorization.

25716661752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132012 (or 132008 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The spelling of 25716661752 in words is "twenty-five billion, seven hundred sixteen million, six hundred sixty-one thousand, seven hundred fifty-two".