27823638860512 has 96 divisors (see below), whose sum is σ = 60653947737600. Its totient is φ = 12457724428800.

The previous prime is 27823638860509. The next prime is 27823638860513. The reversal of 27823638860512 is 21506883632872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27823638860513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27214189 + ... + 28218067.

It is an arithmetic number, because the mean of its divisors is an integer number (631811955600).

Almost surely, 2^{27823638860512} is an apocalyptic number.

27823638860512 is a gapful number since it is divisible by the number (22) 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 27823638860512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326973868800).

27823638860512 is an abundant number, since it is smaller than the sum of its proper divisors (32830308877088).

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

27823638860512 is a wasteful number, since it uses less digits than its factorization.

27823638860512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005080 (or 1005072 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 27823638860512 in words is "twenty-seven trillion, eight hundred twenty-three billion, six hundred thirty-eight million, eight hundred sixty thousand, five hundred twelve".