27971913312 has 288 divisors, whose sum is σ = 95106106368. Its totient is φ = 7624793088.

The previous prime is 27971913301. The next prime is 27971913331. The reversal of 27971913312 is 21331917972.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 33987333 + ... + 33988155.

It is an arithmetic number, because the mean of its divisors is an integer number (330229536).

Almost surely, 2^27971913312 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 27971913312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47553053184).

27971913312 is an abundant number, since it is smaller than the sum of its proper divisors (67134193056).

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

27971913312 is a wasteful number, since it uses less digits than its factorization.

27971913312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1591 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The spelling of 27971913312 in words is "twenty-seven billion, nine hundred seventy-one million, nine hundred thirteen thousand, three hundred twelve".