27968876099136 has 392 divisors, whose sum is σ = 95133819018240. Its totient is φ = 7988317894656.

The previous prime is 27968876099111. The next prime is 27968876099149. The reversal of 27968876099136 is 63199067886972.

27968876099136 is a `hidden beast` number, since 279 + 68 + 8 + 76 + 0 + 99 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1048020385 + ... + 1048047071.

Almost surely, 2^{27968876099136} 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 27968876099136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47566909509120).

27968876099136 is an abundant number, since it is smaller than the sum of its proper divisors (67164942919104).

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

27968876099136 is an equidigital number, since it uses as much as digits as its factorization.

27968876099136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29933 (or 29908 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 81.

The spelling of 27968876099136 in words is "twenty-seven trillion, nine hundred sixty-eight billion, eight hundred seventy-six million, ninety-nine thousand, one hundred thirty-six".