27013239792 has 720 divisors, whose sum is σ = 100910684160. Its totient is φ = 6662476800.

The previous prime is 27013239779. The next prime is 27013239811. The reversal of 27013239792 is 29793231072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 247827834 + ... + 247827942.

It is an arithmetic number, because the mean of its divisors is an integer number (140153728).

Almost surely, 2^27013239792 is an apocalyptic number.

27013239792 is a gapful number since it is divisible by the number (22) 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 27013239792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50455342080).

27013239792 is an abundant number, since it is smaller than the sum of its proper divisors (73897444368).

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

27013239792 is a wasteful number, since it uses less digits than its factorization.

27013239792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 27013239792 in words is "twenty-seven billion, thirteen million, two hundred thirty-nine thousand, seven hundred ninety-two".