27114142922496 has 864 divisors, whose sum is σ = 94033146654720. Its totient is φ = 7632230842368.

The previous prime is 27114142922389. The next prime is 27114142922549. The reversal of 27114142922496 is 69422924141172.

27114142922496 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 4 + 142 + 9 + 2 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12285519025 + ... + 12285521231.

It is an arithmetic number, because the mean of its divisors is an integer number (108834660480).

Almost surely, 2^{27114142922496} 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 27114142922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47016573327360).

27114142922496 is an abundant number, since it is smaller than the sum of its proper divisors (66919003732224).

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

27114142922496 is an equidigital number, since it uses as much as digits as its factorization.

27114142922496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2625 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 27114142922496 in words is "twenty-seven trillion, one hundred fourteen billion, one hundred forty-two million, nine hundred twenty-two thousand, four hundred ninety-six".