27715332309816 has 384 divisors, whose sum is σ = 73652639662080. Its totient is φ = 8688131424000.

The previous prime is 27715332309803. The next prime is 27715332309859. The reversal of 27715332309816 is 61890323351772.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64304715121 + ... + 64304715551.

It is an arithmetic number, because the mean of its divisors is an integer number (191803749120).

Almost surely, 2^{27715332309816} 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 27715332309816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36826319831040).

27715332309816 is an abundant number, since it is smaller than the sum of its proper divisors (45937307352264).

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

27715332309816 is a wasteful number, since it uses less digits than its factorization.

27715332309816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 27715332309816 in words is "twenty-seven trillion, seven hundred fifteen billion, three hundred thirty-two million, three hundred nine thousand, eight hundred sixteen".