27283931136 has 720 divisors, whose sum is σ = 103050904320. Its totient is φ = 7007109120.

The previous prime is 27283931093. The next prime is 27283931153. The reversal of 27283931136 is 63113938272.

27283931136 is a `hidden beast` number, since 27 + 283 + 9 + 311 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (326592) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 27283931091 and 27283931100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306560980 + ... + 306561068.

It is an arithmetic number, because the mean of its divisors is an integer number (143126256).

Almost surely, 2^27283931136 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 27283931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51525452160).

27283931136 is an abundant number, since it is smaller than the sum of its proper divisors (75766973184).

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

27283931136 is an frugal number, since it uses more digits than its factorization.

27283931136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 27283931136 in words is "twenty-seven billion, two hundred eighty-three million, nine hundred thirty-one thousand, one hundred thirty-six".