27315827616 has 192 divisors, whose sum is σ = 89649745920. Its totient is φ = 7074984960.

The previous prime is 27315827593. The next prime is 27315827653. The reversal of 27315827616 is 61672851372.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2707830 + ... + 2717898.

It is an arithmetic number, because the mean of its divisors is an integer number (466925760).

Almost surely, 2^27315827616 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 27315827616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44824872960).

27315827616 is an abundant number, since it is smaller than the sum of its proper divisors (62333918304).

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

27315827616 is a wasteful number, since it uses less digits than its factorization.

27315827616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10467 (or 10459 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The spelling of 27315827616 in words is "twenty-seven billion, three hundred fifteen million, eight hundred twenty-seven thousand, six hundred sixteen".