27059345198448 has 320 divisors, whose sum is σ = 77341769809920. Its totient is φ = 8113880678400.

The previous prime is 27059345198437. The next prime is 27059345198449. The reversal of 27059345198448 is 84489154395072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27059345198449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1385446443 + ... + 1385465973.

It is an arithmetic number, because the mean of its divisors is an integer number (241693030656).

Almost surely, 2^{27059345198448} 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 27059345198448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38670884904960).

27059345198448 is an abundant number, since it is smaller than the sum of its proper divisors (50282424611472).

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

27059345198448 is a wasteful number, since it uses less digits than its factorization.

27059345198448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20176 (or 20170 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 27059345198448 in words is "twenty-seven trillion, fifty-nine billion, three hundred forty-five million, one hundred ninety-eight thousand, four hundred forty-eight".