27086234112 has 420 divisors, whose sum is σ = 94453673886. Its totient is φ = 7733698560.

The previous prime is 27086234107. The next prime is 27086234129. The reversal of 27086234112 is 21143268072.

It is a happy number.

27086234112 is a `hidden beast` number, since 27 + 0 + 8 + 623 + 4 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23785042176 + 3301191936 = 154224^2 + 57456^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18288412 + ... + 18289892.

Almost surely, 2^27086234112 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 27086234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47226836943).

27086234112 is an abundant number, since it is smaller than the sum of its proper divisors (67367439774).

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

27086234112 is an frugal number, since it uses more digits than its factorization.

27086234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 27086234112 in words is "twenty-seven billion, eighty-six million, two hundred thirty-four thousand, one hundred twelve".