9095966880 has 576 divisors, whose sum is σ = 38784178944. Its totient is φ = 1743667200.

The previous prime is 9095966863. The next prime is 9095966911. The reversal of 9095966880 is 886695909.

It is a super-2 number, since 2×9095966880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5284420 + ... + 5286140.

It is an arithmetic number, because the mean of its divisors is an integer number (67333644).

Almost surely, 2^9095966880 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 9095966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392089472).

9095966880 is an abundant number, since it is smaller than the sum of its proper divisors (29688212064).

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

9095966880 is a wasteful number, since it uses less digits than its factorization.

9095966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The square root of 9095966880 is about 95372.7785062384. The cubic root of 9095966880 is about 2087.4510014196.

The spelling of 9095966880 in words is "nine billion, ninety-five million, nine hundred sixty-six thousand, eight hundred eighty".