27452645136 has 360 divisors, whose sum is σ = 91384151040. Its totient is φ = 7669251072.

The previous prime is 27452645093. The next prime is 27452645203. The reversal of 27452645136 is 63154625472.

27452645136 is a `hidden beast` number, since 2 + 7 + 452 + 64 + 5 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27452645091 and 27452645100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114864505 + ... + 114864743.

It is an arithmetic number, because the mean of its divisors is an integer number (253844864).

Almost surely, 2^27452645136 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 27452645136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45692075520).

27452645136 is an abundant number, since it is smaller than the sum of its proper divisors (63931505904).

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

27452645136 is a wasteful number, since it uses less digits than its factorization.

27452645136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 547 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 27452645136 in words is "twenty-seven billion, four hundred fifty-two million, six hundred forty-five thousand, one hundred thirty-six".