27116242433280 has 2592 divisors, whose sum is σ = 130342264311168. Its totient is φ = 5114924236800.

The previous prime is 27116242433263. The next prime is 27116242433311. The reversal of 27116242433280 is 8233424261172.

27116242433280 is a `hidden beast` number, since 2 + 7 + 11 + 624 + 2 + 4 + 3 + 3 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4923956287 + ... + 4923961793.

It is an arithmetic number, because the mean of its divisors is an integer number (50286367404).

Almost surely, 2^{27116242433280} is an apocalyptic number.

27116242433280 is a gapful number since it is divisible by the number (20) 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 27116242433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65171132155584).

27116242433280 is an abundant number, since it is smaller than the sum of its proper divisors (103226021877888).

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

27116242433280 is a wasteful number, since it uses less digits than its factorization.

27116242433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 27116242433280 in words is "twenty-seven trillion, one hundred sixteen billion, two hundred forty-two million, four hundred thirty-three thousand, two hundred eighty".