27171672696 has 256 divisors, whose sum is σ = 92496384000. Its totient is φ = 7213639680.

The previous prime is 27171672667. The next prime is 27171672707. The reversal of 27171672696 is 69627617172.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2023926 + ... + 2037306.

It is an arithmetic number, because the mean of its divisors is an integer number (361314000).

Almost surely, 2^27171672696 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 27171672696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46248192000).

27171672696 is an abundant number, since it is smaller than the sum of its proper divisors (65324711304).

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

27171672696 is a wasteful number, since it uses less digits than its factorization.

27171672696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13499 (or 13489 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 27171672696 in words is "twenty-seven billion, one hundred seventy-one million, six hundred seventy-two thousand, six hundred ninety-six".