27868610000 has 400 divisors, whose sum is σ = 89111975040. Its totient is φ = 8171520000.

The previous prime is 27868609973. The next prime is 27868610009. The reversal of 27868610000 is 1686872.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27868610009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13088936 + ... + 13091064.

Almost surely, 2^27868610000 is an apocalyptic number.

27868610000 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 27868610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44555987520).

27868610000 is an abundant number, since it is smaller than the sum of its proper divisors (61243365040).

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

27868610000 is a wasteful number, since it uses less digits than its factorization.

27868610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 27868610000 in words is "twenty-seven billion, eight hundred sixty-eight million, six hundred ten thousand".