27686830080 has 512 divisors, whose sum is σ = 109218009600. Its totient is φ = 5832179712.

The previous prime is 27686830051. The next prime is 27686830097. The reversal of 27686830080 is 8003868672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

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, 44728011 + ... + 44728629.

It is an arithmetic number, because the mean of its divisors is an integer number (213316425).

Almost surely, 2^27686830080 is an apocalyptic number.

27686830080 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 27686830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54609004800).

27686830080 is an abundant number, since it is smaller than the sum of its proper divisors (81531179520).

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

27686830080 is an equidigital number, since it uses as much as digits as its factorization.

27686830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 27686830080 in words is "twenty-seven billion, six hundred eighty-six million, eight hundred thirty thousand, eighty".