9805079611008 has 384 divisors, whose sum is σ = 33600186547200. Its totient is φ = 2814853524480.

The previous prime is 9805079610973. The next prime is 9805079611009. The reversal of 9805079611008 is 8001169705089.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9805079611008² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9805079611009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5746585 + ... + 7254887.

It is an arithmetic number, because the mean of its divisors is an integer number (87500485800).

Almost surely, 2^{9805079611008} 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 9805079611008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800093273600).

9805079611008 is an abundant number, since it is smaller than the sum of its proper divisors (23795106936192).

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

9805079611008 is a wasteful number, since it uses less digits than its factorization.

9805079611008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508362 (or 1508338 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 9805079611008 in words is "nine trillion, eight hundred five billion, seventy-nine million, six hundred eleven thousand, eight".