9913079036952 has 576 divisors, whose sum is σ = 34058449152000. Its totient is φ = 2602470124800.

The previous prime is 9913079036941. The next prime is 9913079037011. The reversal of 9913079036952 is 2596309703199.

9913079036952 is a `hidden beast` number, since 9 + 9 + 130 + 7 + 90 + 369 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9913079036952.

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 143 ways as a sum of consecutive naturals, for example, 930712827 + ... + 930723477.

It is an arithmetic number, because the mean of its divisors is an integer number (59129252000).

Almost surely, 2^{9913079036952} 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 9913079036952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029224576000).

9913079036952 is an abundant number, since it is smaller than the sum of its proper divisors (24145370115048).

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

9913079036952 is a wasteful number, since it uses less digits than its factorization.

9913079036952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10933 (or 10899 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 63.

The spelling of 9913079036952 in words is "nine trillion, nine hundred thirteen billion, seventy-nine million, thirty-six thousand, nine hundred fifty-two".