27993161196 has 576 divisors, whose sum is σ = 100773227520. Its totient is φ = 6604416000.

The previous prime is 27993161171. The next prime is 27993161201. The reversal of 27993161196 is 69116139972.

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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53729416 + ... + 53729936.

It is an arithmetic number, because the mean of its divisors is an integer number (174953520).

Almost surely, 2^27993161196 is an apocalyptic number.

27993161196 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 27993161196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50386613760).

27993161196 is an abundant number, since it is smaller than the sum of its proper divisors (72780066324).

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

27993161196 is a wasteful number, since it uses less digits than its factorization.

27993161196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 628 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The spelling of 27993161196 in words is "twenty-seven billion, nine hundred ninety-three million, one hundred sixty-one thousand, one hundred ninety-six".