27864001140 has 48 divisors (see below), whose sum is σ = 78285529728. Its totient is φ = 7405035904.

The previous prime is 27864001133. The next prime is 27864001177. The reversal of 27864001140 is 4110046872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774912 + ... + 810071.

It is an arithmetic number, because the mean of its divisors is an integer number (1630948536).

Almost surely, 2^27864001140 is an apocalyptic number.

27864001140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27864001140 is an abundant number, since it is smaller than the sum of its proper divisors (50421528588).

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

27864001140 is a wasteful number, since it uses less digits than its factorization.

27864001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585288 (or 1585286 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 27864001140 in words is "twenty-seven billion, eight hundred sixty-four million, one thousand, one hundred forty".