27849108897792 has 2400 divisors, whose sum is σ = 110304102585600. Its totient is φ = 6797150650368.

The previous prime is 27849108897689. The next prime is 27849108897793. The reversal of 27849108897792 is 29779880194872.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (27849108897793) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 121611829134 + ... + 121611829362.

It is an arithmetic number, because the mean of its divisors is an integer number (45960042744).

Almost surely, 2^{27849108897792} 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 27849108897792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55152051292800).

27849108897792 is an abundant number, since it is smaller than the sum of its proper divisors (82454993687808).

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

27849108897792 is a wasteful number, since it uses less digits than its factorization.

27849108897792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 81.

The spelling of 27849108897792 in words is "twenty-seven trillion, eight hundred forty-nine billion, one hundred eight million, eight hundred ninety-seven thousand, seven hundred ninety-two".