27823122432 has 192 divisors, whose sum is σ = 94194172800. Its totient is φ = 7949352960.

The previous prime is 27823122427. The next prime is 27823122451. The reversal of 27823122432 is 23422132872.

27823122432 is a `hidden beast` number, since 27 + 82 + 3 + 122 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×27823122432² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351132 + ... + 423012.

It is an arithmetic number, because the mean of its divisors is an integer number (490594650).

Almost surely, 2^27823122432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27823122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47097086400).

27823122432 is an abundant number, since it is smaller than the sum of its proper divisors (66371050368).

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

27823122432 is an equidigital number, since it uses as much as digits as its factorization.

27823122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71919 (or 71893 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 27823122432 in words is "twenty-seven billion, eight hundred twenty-three million, one hundred twenty-two thousand, four hundred thirty-two".