27691798845312 has 1024 divisors, whose sum is σ = 99968455065600. Its totient is φ = 7374478712832.

The previous prime is 27691798845287. The next prime is 27691798845329. The reversal of 27691798845312 is 21354889719672.

27691798845312 is a `hidden beast` number, since 2 + 7 + 6 + 9 + 1 + 7 + 9 + 8 + 84 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12513238318 + ... + 12513240530.

It is an arithmetic number, because the mean of its divisors is an integer number (97625444400).

Almost surely, 2^{27691798845312} 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 27691798845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49984227532800).

27691798845312 is an abundant number, since it is smaller than the sum of its proper divisors (72276656220288).

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

27691798845312 is a wasteful number, since it uses less digits than its factorization.

27691798845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2814 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 27691798845312 in words is "twenty-seven trillion, six hundred ninety-one billion, seven hundred ninety-eight million, eight hundred forty-five thousand, three hundred twelve".