27098071070720 has 384 divisors, whose sum is σ = 73827464256000. Its totient is φ = 9463260119040.

The previous prime is 27098071070689. The next prime is 27098071070731. The reversal of 27098071070720 is 2707017089072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1595967191 + ... + 1595984169.

It is an arithmetic number, because the mean of its divisors is an integer number (192259021500).

Almost surely, 2^{27098071070720} is an apocalyptic number.

27098071070720 is a gapful number since it is divisible by the number (20) 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 27098071070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36913732128000).

27098071070720 is an abundant number, since it is smaller than the sum of its proper divisors (46729393185280).

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

27098071070720 is a wasteful number, since it uses less digits than its factorization.

27098071070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17669 (or 17649 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 50.

The spelling of 27098071070720 in words is "twenty-seven trillion, ninety-eight billion, seventy-one million, seventy thousand, seven hundred twenty".