27027360000 has 405 divisors, whose sum is σ = 98092975981. Its totient is φ = 7154688000.

The previous prime is 27027359987. The next prime is 27027360047. The reversal of 27027360000 is 6372072.

The square root of 27027360000 is 164400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 18674862336 + 8352497664 = 136656^2 + 91392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 197279932 + ... + 197280068.

Almost surely, 2^27027360000 is an apocalyptic number.

27027360000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27027360000 is the 164400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27027360000

27027360000 is an abundant number, since it is smaller than the sum of its proper divisors (71065615981).

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

27027360000 is an frugal number, since it uses more digits than its factorization.

27027360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 27027360000 in words is "twenty-seven billion, twenty-seven million, three hundred sixty thousand".