25766655642 has 432 divisors, whose sum is σ = 75722999040. Its totient is φ = 6195750912.

The previous prime is 25766655619. The next prime is 25766655683. The reversal of 25766655642 is 24655666752.

It is a super-3 number, since 3×25766655642³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 326160159 + ... + 326160237.

It is an arithmetic number, because the mean of its divisors is an integer number (175284720).

Almost surely, 2^25766655642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25766655642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37861499520).

25766655642 is an abundant number, since it is smaller than the sum of its proper divisors (49956343398).

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

25766655642 is a wasteful number, since it uses less digits than its factorization.

25766655642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 25766655642 in words is "twenty-five billion, seven hundred sixty-six million, six hundred fifty-five thousand, six hundred forty-two".