9789071013600 has 1152 divisors, whose sum is σ = 34818249489408. Its totient is φ = 2382417100800.

The previous prime is 9789071013593. The next prime is 9789071013643. The reversal of 9789071013600 is 63101709879.

It is a super-2 number, since 2×9789071013600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31886224647 + ... + 31886224953.

It is an arithmetic number, because the mean of its divisors is an integer number (30224174904).

Almost surely, 2^{9789071013600} 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 9789071013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409124744704).

9789071013600 is an abundant number, since it is smaller than the sum of its proper divisors (25029178475808).

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

9789071013600 is a wasteful number, since it uses less digits than its factorization.

9789071013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 9789071013600 in words is "nine trillion, seven hundred eighty-nine billion, seventy-one million, thirteen thousand, six hundred".