27206891712 has 1120 divisors, whose sum is σ = 111527539200. Its totient is φ = 6462167040.

The previous prime is 27206891707. The next prime is 27206891753. The reversal of 27206891712 is 21719860272.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 254269963 + ... + 254270069.

It is an arithmetic number, because the mean of its divisors is an integer number (99578160).

Almost surely, 2^27206891712 is an apocalyptic number.

27206891712 is a gapful number since it is divisible by the number (22) 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 27206891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55763769600).

27206891712 is an abundant number, since it is smaller than the sum of its proper divisors (84320647488).

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

27206891712 is a wasteful number, since it uses less digits than its factorization.

27206891712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 27206891712 in words is "twenty-seven billion, two hundred six million, eight hundred ninety-one thousand, seven hundred twelve".