27136261097984 has 80 divisors (see below), whose sum is σ = 55786970759520. Its totient is φ = 13179371950080.

The previous prime is 27136261097983. The next prime is 27136261097987. The reversal of 27136261097984 is 48979016263172.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27136261097984.

It is not an unprimeable number, because it can be changed into a prime (27136261097983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580007 + ... + 7389785.

It is an arithmetic number, because the mean of its divisors is an integer number (697337134494).

Almost surely, 2^{27136261097984} 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 27136261097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27893485379760).

27136261097984 is an abundant number, since it is smaller than the sum of its proper divisors (28650709661536).

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

27136261097984 is an equidigital number, since it uses as much as digits as its factorization.

27136261097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810021 (or 6810005 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 65.

The spelling of 27136261097984 in words is "twenty-seven trillion, one hundred thirty-six billion, two hundred sixty-one million, ninety-seven thousand, nine hundred eighty-four".