27896868000 has 288 divisors, whose sum is σ = 100880921232. Its totient is φ = 7298304000.

The previous prime is 27896867981. The next prime is 27896868011. The reversal of 27896868000 is 86869872.

It can be written as a sum of positive squares in 8 ways, for example, as 238517136 + 27658350864 = 15444^2 + 166308^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900690 + ... + 1915310.

Almost surely, 2^27896868000 is an apocalyptic number.

27896868000 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 27896868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50440460616).

27896868000 is an abundant number, since it is smaller than the sum of its proper divisors (72984053232).

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

27896868000 is a wasteful number, since it uses less digits than its factorization.

27896868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14705 (or 14684 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 27896868000 in words is "twenty-seven billion, eight hundred ninety-six million, eight hundred sixty-eight thousand".