27997479972 has 216 divisors, whose sum is σ = 89793028416. Its totient is φ = 7199280000.

The previous prime is 27997479943. The next prime is 27997479977.

27997479972 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27997479972² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27997479972.

It is not an unprimeable number, because it can be changed into a prime (27997479977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3075147 + ... + 3084237.

Almost surely, 2^27997479972 is an apocalyptic number.

27997479972 is a gapful number since it is divisible by the number (22) 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 27997479972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44896514208).

27997479972 is an abundant number, since it is smaller than the sum of its proper divisors (61795548444).

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

27997479972 is a wasteful number, since it uses less digits than its factorization.

27997479972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231 (or 9215 counting only the distinct ones).

The product of its digits is 252047376, while the sum is 72.

The spelling of 27997479972 in words is "twenty-seven billion, nine hundred ninety-seven million, four hundred seventy-nine thousand, nine hundred seventy-two".