27399801000 has 768 divisors, whose sum is σ = 107294803200. Its totient is φ = 5770752000.

The previous prime is 27399800999. The next prime is 27399801001. The reversal of 27399801000 is 10899372.

It is an interprime number because it is at equal distance from previous prime (27399800999) and next prime (27399801001).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 27399801000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27399801001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1611752992 + ... + 1611753008.

It is an arithmetic number, because the mean of its divisors is an integer number (139706775).

Almost surely, 2^27399801000 is an apocalyptic number.

27399801000 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 27399801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53647401600).

27399801000 is an abundant number, since it is smaller than the sum of its proper divisors (79895002200).

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

27399801000 is a wasteful number, since it uses less digits than its factorization.

27399801000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 27399801000 in words is "twenty-seven billion, three hundred ninety-nine million, eight hundred one thousand".