27979209216 has 400 divisors, whose sum is σ = 98551073280. Its totient is φ = 7733698560.

The previous prime is 27979209197. The next prime is 27979209283. The reversal of 27979209216 is 61290297972.

It is a super-2 number, since 2×27979209216² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8997870 + ... + 9000978.

Almost surely, 2^27979209216 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 27979209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49275536640).

27979209216 is an abundant number, since it is smaller than the sum of its proper divisors (70571864064).

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

27979209216 is an equidigital number, since it uses as much as digits as its factorization.

27979209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 27979209216 in words is "twenty-seven billion, nine hundred seventy-nine million, two hundred nine thousand, two hundred sixteen".