27822362112000 has 4160 divisors, whose sum is σ = 121117887221760. Its totient is φ = 6306398208000.

The previous prime is 27822362111897. The next prime is 27822362112001. The reversal of 27822362112000 is 21126322872.

27822362112000 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 2 + 3 + 621 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27822362112001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 415259135967 + ... + 415259136033.

It is an arithmetic number, because the mean of its divisors is an integer number (29114876736).

Almost surely, 2^{27822362112000} is an apocalyptic number.

27822362112000 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 27822362112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60558943610880).

27822362112000 is an abundant number, since it is smaller than the sum of its proper divisors (93295525109760).

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

27822362112000 is a wasteful number, since it uses less digits than its factorization.

27822362112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 27822362112000 its reverse (21126322872), we get a palindrome (27843488434872).

The spelling of 27822362112000 in words is "twenty-seven trillion, eight hundred twenty-two billion, three hundred sixty-two million, one hundred twelve thousand".