27427077945360 has 800 divisors, whose sum is σ = 97902698826240. Its totient is φ = 7143715897344.

The previous prime is 27427077945359. The next prime is 27427077945409. The reversal of 27427077945360 is 6354977072472.

27427077945360 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 7 + 0 + 7 + 7 + 94 + 536 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12066465184 + ... + 12066467456.

Almost surely, 2^{27427077945360} is an apocalyptic number.

27427077945360 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 27427077945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48951349413120).

27427077945360 is an abundant number, since it is smaller than the sum of its proper divisors (70475620880880).

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

27427077945360 is an frugal number, since it uses more digits than its factorization.

27427077945360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 27427077945360 in words is "twenty-seven trillion, four hundred twenty-seven billion, seventy-seven million, nine hundred forty-five thousand, three hundred sixty".