27225725688 has 192 divisors, whose sum is σ = 86949058560. Its totient is φ = 7533451008.

The previous prime is 27225725687. The next prime is 27225725693. The reversal of 27225725688 is 88652752272.

27225725688 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 5 + 72 + 568 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27225725687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4155231 + ... + 4161777.

It is an arithmetic number, because the mean of its divisors is an integer number (452859680).

Almost surely, 2^27225725688 is an apocalyptic number.

27225725688 is a gapful number since it is divisible by the number (28) 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 27225725688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43474529280).

27225725688 is an abundant number, since it is smaller than the sum of its proper divisors (59723332872).

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

27225725688 is a wasteful number, since it uses less digits than its factorization.

27225725688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6819 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 27225725688 in words is "twenty-seven billion, two hundred twenty-five million, seven hundred twenty-five thousand, six hundred eighty-eight".