27823461120 has 864 divisors, whose sum is σ = 122994772992. Its totient is φ = 5864472576.

The previous prime is 27823461103. The next prime is 27823461131. The reversal of 27823461120 is 2116432872.

It is a happy number.

27823461120 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 34 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304149 + ... + 28305131.

Almost surely, 2^27823461120 is an apocalyptic number.

27823461120 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 27823461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61497386496).

27823461120 is an abundant number, since it is smaller than the sum of its proper divisors (95171311872).

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

27823461120 is an equidigital number, since it uses as much as digits as its factorization.

27823461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1013 counting only the distinct ones).

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

Adding to 27823461120 its reverse (2116432872), we get a palindrome (29939893992).

The spelling of 27823461120 in words is "twenty-seven billion, eight hundred twenty-three million, four hundred sixty-one thousand, one hundred twenty".