27001345536 has 360 divisors, whose sum is σ = 86881835040. Its totient is φ = 8065474560.

The previous prime is 27001345517. The next prime is 27001345537. The reversal of 27001345536 is 63554310072.

27001345536 is a `hidden beast` number, since 2 + 70 + 0 + 1 + 34 + 553 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27001345536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27001345537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44047566 + ... + 44048178.

Almost surely, 2^27001345536 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 27001345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43440917520).

27001345536 is an abundant number, since it is smaller than the sum of its proper divisors (59880489504).

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

27001345536 is a wasteful number, since it uses less digits than its factorization.

27001345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 27001345536 in words is "twenty-seven billion, one million, three hundred forty-five thousand, five hundred thirty-six".