27880195200 has 768 divisors, whose sum is σ = 112702786560. Its totient is φ = 5960908800.

The previous prime is 27880195181. The next prime is 27880195229. The reversal of 27880195200 is 259108872.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31573959 + ... + 31574841.

It is an arithmetic number, because the mean of its divisors is an integer number (146748420).

Almost surely, 2^27880195200 is an apocalyptic number.

27880195200 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 27880195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56351393280).

27880195200 is an abundant number, since it is smaller than the sum of its proper divisors (84822591360).

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

27880195200 is a wasteful number, since it uses less digits than its factorization.

27880195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 27880195200 in words is "twenty-seven billion, eight hundred eighty million, one hundred ninety-five thousand, two hundred".