9172258560000 has 1440 divisors, whose sum is σ = 35301471725520. Its totient is φ = 2376843264000.

The previous prime is 9172258559993. The next prime is 9172258560001. The reversal of 9172258560000 is 658522719.

9172258560000 is a `hidden beast` number, since 9 + 1 + 7 + 2 + 2 + 585 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9172258560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11508479602 + ... + 11508480398.

Almost surely, 2^{9172258560000} is an apocalyptic number.

9172258560000 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 9172258560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17650735862760).

9172258560000 is an abundant number, since it is smaller than the sum of its proper divisors (26129213165520).

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

9172258560000 is an frugal number, since it uses more digits than its factorization.

9172258560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 9172258560000 in words is "nine trillion, one hundred seventy-two billion, two hundred fifty-eight million, five hundred sixty thousand".