25655640192 has 768 divisors, whose sum is σ = 97512979200. Its totient is φ = 6465650688.

The previous prime is 25655640137. The next prime is 25655640193. The reversal of 25655640192 is 29104655652.

25655640192 is a `hidden beast` number, since 2 + 5 + 6 + 556 + 4 + 0 + 1 + 92 = 666.

It is a super-2 number, since 2×25655640192² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25655640193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264491088 + ... + 264491184.

It is an arithmetic number, because the mean of its divisors is an integer number (126970025).

Almost surely, 2^25655640192 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 25655640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48756489600).

25655640192 is an abundant number, since it is smaller than the sum of its proper divisors (71857339008).

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

25655640192 is a wasteful number, since it uses less digits than its factorization.

25655640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 25655640192 in words is "twenty-five billion, six hundred fifty-five million, six hundred forty thousand, one hundred ninety-two".