27891864000 has 2240 divisors, whose sum is σ = 141763894272. Its totient is φ = 5225472000.

The previous prime is 27891863893. The next prime is 27891864037. The reversal of 27891864000 is 46819872.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 648647979 + ... + 648648021.

Almost surely, 2^27891864000 is an apocalyptic number.

27891864000 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 27891864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70881947136).

27891864000 is an abundant number, since it is smaller than the sum of its proper divisors (113872030272).

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

27891864000 is a wasteful number, since it uses less digits than its factorization.

27891864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 27891864000 in words is "twenty-seven billion, eight hundred ninety-one million, eight hundred sixty-four thousand".