27314236385280 has 1344 divisors, whose sum is σ = 106587534690000. Its totient is φ = 6674844745728.

The previous prime is 27314236385263. The next prime is 27314236385323. The reversal of 27314236385280 is 8258363241372.

27314236385280 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 4 + 236 + 385 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2262689842176 + 25051546543104 = 1504224^2 + 5005152^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14459626576 + ... + 14459628464.

Almost surely, 2^{27314236385280} is an apocalyptic number.

27314236385280 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 27314236385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53293767345000).

27314236385280 is an abundant number, since it is smaller than the sum of its proper divisors (79273298304720).

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

27314236385280 is a wasteful number, since it uses less digits than its factorization.

27314236385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 27314236385280 in words is "twenty-seven trillion, three hundred fourteen billion, two hundred thirty-six million, three hundred eighty-five thousand, two hundred eighty".