9132775584000 has 1728 divisors, whose sum is σ = 33594286602240. Its totient is φ = 2195128320000.

The previous prime is 9132775583999. The next prime is 9132775584001. The reversal of 9132775584000 is 4855772319.

It is an interprime number because it is at equal distance from previous prime (9132775583999) and next prime (9132775584001).

It is not an unprimeable number, because it can be changed into a prime (9132775584001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102615455956 + ... + 102615456044.

It is an arithmetic number, because the mean of its divisors is an integer number (19441138080).

Almost surely, 2^{9132775584000} 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 9132775584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797143301120).

9132775584000 is an abundant number, since it is smaller than the sum of its proper divisors (24461511018240).

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

9132775584000 is a wasteful number, since it uses less digits than its factorization.

9132775584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 9132775584000 in words is "nine trillion, one hundred thirty-two billion, seven hundred seventy-five million, five hundred eighty-four thousand".