27083288736 has 192 divisors, whose sum is σ = 91123522560. Its totient is φ = 7665580800.

The previous prime is 27083288717. The next prime is 27083288737. The reversal of 27083288736 is 63788238072.

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

It is not an unprimeable number, because it can be changed into a prime (27083288737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626211 + ... + 668061.

It is an arithmetic number, because the mean of its divisors is an integer number (474601680).

Almost surely, 2^27083288736 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 27083288736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45561761280).

27083288736 is an abundant number, since it is smaller than the sum of its proper divisors (64040233824).

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

27083288736 is a wasteful number, since it uses less digits than its factorization.

27083288736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41984 (or 41970 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 27083288736 in words is "twenty-seven billion, eighty-three million, two hundred eighty-eight thousand, seven hundred thirty-six".