9260117856 has 288 divisors, whose sum is σ = 31107888000. Its totient is φ = 2657422080.

The previous prime is 9260117843. The next prime is 9260117873. The reversal of 9260117856 is 6587110629.

9260117856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 3429595 + ... + 3432293.

It is an arithmetic number, because the mean of its divisors is an integer number (108013500).

Almost surely, 2^9260117856 is an apocalyptic number.

9260117856 is a gapful number since it is divisible by the number (96) 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 9260117856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553944000).

9260117856 is an abundant number, since it is smaller than the sum of its proper divisors (21847770144).

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

9260117856 is a wasteful number, since it uses less digits than its factorization.

9260117856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9260117856 is about 96229.5061610523. The cubic root of 9260117856 is about 2099.9333203318.

The spelling of 9260117856 in words is "nine billion, two hundred sixty million, one hundred seventeen thousand, eight hundred fifty-six".