9028960872960 has 1280 divisors, whose sum is σ = 34547204837376. Its totient is φ = 1969252466688.

The previous prime is 9028960872937. The next prime is 9028960873021. The reversal of 9028960872960 is 692780698209.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a junction number, because it is equal to n+sod(n) for n = 9028960872891 and 9028960872900.

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 127 ways as a sum of consecutive naturals, for example, 17263787259 + ... + 17263787781.

Almost surely, 2^{9028960872960} 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 9028960872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273602418688).

9028960872960 is an abundant number, since it is smaller than the sum of its proper divisors (25518243964416).

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

9028960872960 is a wasteful number, since it uses less digits than its factorization.

9028960872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 9028960872960 in words is "nine trillion, twenty-eight billion, nine hundred sixty million, eight hundred seventy-two thousand, nine hundred sixty".