27456660000 has 1080 divisors, whose sum is σ = 124253713584. Its totient is φ = 5685120000.

The previous prime is 27456659987. The next prime is 27456660013. The reversal of 27456660000 is 6665472.

It is an interprime number because it is at equal distance from previous prime (27456659987) and next prime (27456660013).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 97019859 + ... + 97020141.

Almost surely, 2^27456660000 is an apocalyptic number.

27456660000 is a gapful number since it is divisible by the number (20) 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 27456660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62126856792).

27456660000 is an abundant number, since it is smaller than the sum of its proper divisors (96797053584).

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

27456660000 is a wasteful number, since it uses less digits than its factorization.

27456660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 27456660000 in words is "twenty-seven billion, four hundred fifty-six million, six hundred sixty thousand".