27085612032 has 528 divisors, whose sum is σ = 90664741440. Its totient is φ = 8026324992.

The previous prime is 27085611929. The next prime is 27085612033. The reversal of 27085612032 is 23021658072.

27085612032 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 5 + 612 + 0 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27085612033) 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, 80372568 + ... + 80372904.

Almost surely, 2^27085612032 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 27085612032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45332370720).

27085612032 is an abundant number, since it is smaller than the sum of its proper divisors (63579129408).

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

27085612032 is a wasteful number, since it uses less digits than its factorization.

27085612032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27085612032 in words is "twenty-seven billion, eighty-five million, six hundred twelve thousand, thirty-two".