27683683871376 has 160 divisors (see below), whose sum is σ = 77484461927040. Its totient is φ = 8516813200896.

The previous prime is 27683683871281. The next prime is 27683683871383. The reversal of 27683683871376 is 67317838638672.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27683683871298 and 27683683871307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942023755 + ... + 942053141.

It is an arithmetic number, because the mean of its divisors is an integer number (484277887044).

Almost surely, 2^{27683683871376} is an apocalyptic number.

27683683871376 is a gapful number since it is divisible by the number (26) 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 27683683871376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38742230963520).

27683683871376 is an abundant number, since it is smaller than the sum of its proper divisors (49800778055664).

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

27683683871376 is a wasteful number, since it uses less digits than its factorization.

27683683871376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38370 (or 38338 counting only the distinct ones).

The product of its digits is 2048385024, while the sum is 75.

The spelling of 27683683871376 in words is "twenty-seven trillion, six hundred eighty-three billion, six hundred eighty-three million, eight hundred seventy-one thousand, three hundred seventy-six".