9906042828591 has 768 divisors, whose sum is σ = 20448215040000. Its totient is φ = 4718326878720.

The previous prime is 9906042828569. The next prime is 9906042828599. The reversal of 9906042828591 is 1958282406099.

It is not a de Polignac number, because 9906042828591 - 2¹⁰ = 9906042827567 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906042828599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 78000337170 + ... + 78000337296.

It is an arithmetic number, because the mean of its divisors is an integer number (26625280000).

Almost surely, 2^{9906042828591} is an apocalyptic number.

9906042828591 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9906042828591 is an abundant number, since it is smaller than the sum of its proper divisors (10542172211409).

9906042828591 is a wasteful number, since it uses less digits than its factorization.

9906042828591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 9906042828591 in words is "nine trillion, nine hundred six billion, forty-two million, eight hundred twenty-eight thousand, five hundred ninety-one".