27827379300 has 216 divisors, whose sum is σ = 95654127744. Its totient is φ = 6225058560.

The previous prime is 27827379299. The next prime is 27827379301. The reversal of 27827379300 is 397372872.

It is an interprime number because it is at equal distance from previous prime (27827379299) and next prime (27827379301).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27827379300.

It is not an unprimeable number, because it can be changed into a prime (27827379301) 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, 670762 + ... + 711038.

It is an arithmetic number, because the mean of its divisors is an integer number (442843184).

Almost surely, 2^27827379300 is an apocalyptic number.

27827379300 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 27827379300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47827063872).

27827379300 is an abundant number, since it is smaller than the sum of its proper divisors (67826748444).

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

27827379300 is a wasteful number, since it uses less digits than its factorization.

27827379300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40355 (or 40341 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 27827379300 in words is "twenty-seven billion, eight hundred twenty-seven million, three hundred seventy-nine thousand, three hundred".