27800924606112 has 576 divisors, whose sum is σ = 89256287232000. Its totient is φ = 7544699688960.

The previous prime is 27800924606111. The next prime is 27800924606149. The reversal of 27800924606112 is 21160642900872.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27800924606111) 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 95 ways as a sum of consecutive naturals, for example, 6392484514 + ... + 6392488862.

It is an arithmetic number, because the mean of its divisors is an integer number (154958832000).

Almost surely, 2^{27800924606112} 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 27800924606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44628143616000).

27800924606112 is an abundant number, since it is smaller than the sum of its proper divisors (61455362625888).

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

27800924606112 is a wasteful number, since it uses less digits than its factorization.

27800924606112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 27800924606112 in words is "twenty-seven trillion, eight hundred billion, nine hundred twenty-four million, six hundred six thousand, one hundred twelve".