27782533152000 has 2592 divisors, whose sum is σ = 121465909393920. Its totient is φ = 6060392448000.

The previous prime is 27782533151981. The next prime is 27782533152029. The reversal of 27782533152000 is 25133528772.

27782533152000 is a `hidden beast` number, since 2 + 7 + 7 + 82 + 53 + 315 + 200 + 0 = 666.

It is a super-3 number, since 3×27782533152000³ (a number of 41 digits) contains 333 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13625566981 + ... + 13625569019.

It is an arithmetic number, because the mean of its divisors is an integer number (46861847760).

Almost surely, 2^{27782533152000} is an apocalyptic number.

27782533152000 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 27782533152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60732954696960).

27782533152000 is an abundant number, since it is smaller than the sum of its proper divisors (93683376241920).

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

27782533152000 is a wasteful number, since it uses less digits than its factorization.

27782533152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 27782533152000 in words is "twenty-seven trillion, seven hundred eighty-two billion, five hundred thirty-three million, one hundred fifty-two thousand".