27966901960 has 128 divisors (see below), whose sum is σ = 68921798400. Its totient is φ = 10171146240.

The previous prime is 27966901939. The next prime is 27966901961. The reversal of 27966901960 is 6910966972.

It is not an unprimeable number, because it can be changed into a prime (27966901961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866771 + ... + 2876509.

It is an arithmetic number, because the mean of its divisors is an integer number (538451550).

Almost surely, 2^27966901960 is an apocalyptic number.

27966901960 is a gapful number since it is divisible by the number (20) 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 27966901960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34460899200).

27966901960 is an abundant number, since it is smaller than the sum of its proper divisors (40954896440).

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

27966901960 is a wasteful number, since it uses less digits than its factorization.

27966901960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9911 (or 9907 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 55.

The spelling of 27966901960 in words is "twenty-seven billion, nine hundred sixty-six million, nine hundred one thousand, nine hundred sixty".