27545162112 has 384 divisors, whose sum is σ = 89730950400. Its totient is φ = 8047226880.

The previous prime is 27545162111. The next prime is 27545162123. The reversal of 27545162112 is 21126154572.

27545162112 is a `hidden beast` number, since 27 + 5 + 4 + 5 + 1 + 621 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27545162111) 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, 72678339 + ... + 72678717.

It is an arithmetic number, because the mean of its divisors is an integer number (233674350).

Almost surely, 2^27545162112 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 27545162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44865475200).

27545162112 is an abundant number, since it is smaller than the sum of its proper divisors (62185788288).

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

27545162112 is a wasteful number, since it uses less digits than its factorization.

27545162112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The spelling of 27545162112 in words is "twenty-seven billion, five hundred forty-five million, one hundred sixty-two thousand, one hundred twelve".