27839044851072 has 256 divisors, whose sum is σ = 91186341496320. Its totient is φ = 7328122306560.

The previous prime is 27839044851061. The next prime is 27839044851077. The reversal of 27839044851072 is 27015844093872.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27839044850997 and 27839044851015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27839044851077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17514072 + ... + 19037352.

It is an arithmetic number, because the mean of its divisors is an integer number (356196646470).

Almost surely, 2^{27839044851072} 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 27839044851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45593170748160).

27839044851072 is an abundant number, since it is smaller than the sum of its proper divisors (63347296645248).

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

27839044851072 is a wasteful number, since it uses less digits than its factorization.

27839044851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523841 (or 1523829 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 27839044851072 in words is "twenty-seven trillion, eight hundred thirty-nine billion, forty-four million, eight hundred fifty-one thousand, seventy-two".