27285984000 has 1296 divisors, whose sum is σ = 115776329760. Its totient is φ = 6386688000.

The previous prime is 27285983951. The next prime is 27285984017. The reversal of 27285984000 is 48958272.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 940895986 + ... + 940896014.

Almost surely, 2^27285984000 is an apocalyptic number.

27285984000 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 27285984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57888164880).

27285984000 is an abundant number, since it is smaller than the sum of its proper divisors (88490345760).

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

27285984000 is an equidigital number, since it uses as much as digits as its factorization.

27285984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 27285984000 in words is "twenty-seven billion, two hundred eighty-five million, nine hundred eighty-four thousand".