9352017012960 has 864 divisors, whose sum is σ = 34378552746720. Its totient is φ = 2400686346240.

The previous prime is 9352017012893. The next prime is 9352017012973. The reversal of 9352017012960 is 692107102539.

It is a happy number.

9352017012960 is a `hidden beast` number, since 9 + 352 + 0 + 1 + 7 + 0 + 1 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8556282174 + ... + 8556283266.

It is an arithmetic number, because the mean of its divisors is an integer number (39789991605).

Almost surely, 2^{9352017012960} is an apocalyptic number.

9352017012960 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 9352017012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189276373360).

9352017012960 is an abundant number, since it is smaller than the sum of its proper divisors (25026535733760).

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

9352017012960 is a wasteful number, since it uses less digits than its factorization.

9352017012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 9352017012960 in words is "nine trillion, three hundred fifty-two billion, seventeen million, twelve thousand, nine hundred sixty".