27284532000 has 1152 divisors, whose sum is σ = 110425835520. Its totient is φ = 5854464000.

The previous prime is 27284531969. The next prime is 27284532029. The reversal of 27284532000 is 23548272.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 634523979 + ... + 634524021.

It is an arithmetic number, because the mean of its divisors is an integer number (95855760).

Almost surely, 2^27284532000 is an apocalyptic number.

27284532000 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 27284532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55212917760).

27284532000 is an abundant number, since it is smaller than the sum of its proper divisors (83141303520).

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

27284532000 is a wasteful number, since it uses less digits than its factorization.

27284532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 27284532000 in words is "twenty-seven billion, two hundred eighty-four million, five hundred thirty-two thousand".