9156288960 has 1344 divisors, whose sum is σ = 42603724800. Its totient is φ = 1788272640.

The previous prime is 9156288931. The next prime is 9156289013. The reversal of 9156288960 is 698826519.

It is a happy number.

9156288960 is a `hidden beast` number, since 9 + 1 + 5 + 628 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 9156288897 and 9156288906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295364145 + ... + 295364175.

It is an arithmetic number, because the mean of its divisors is an integer number (31699200).

Almost surely, 2^9156288960 is an apocalyptic number.

9156288960 is a gapful number since it is divisible by the number (90) 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 9156288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301862400).

9156288960 is an abundant number, since it is smaller than the sum of its proper divisors (33447435840).

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

9156288960 is a wasteful number, since it uses less digits than its factorization.

9156288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 9156288960 is about 95688.4996224729. The cubic root of 9156288960 is about 2092.0553150364.

It can be divided in two parts, 9156 and 288960, that added together give a square (298116 = 546²).

The spelling of 9156288960 in words is "nine billion, one hundred fifty-six million, two hundred eighty-eight thousand, nine hundred sixty".