9010172160000 has 1920 divisors, whose sum is σ = 36861628003200. Its totient is φ = 2155806720000.

The previous prime is 9010172159981. The next prime is 9010172160001. The reversal of 9010172160000 is 612710109.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9010172160001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52081919914 + ... + 52081920086.

It is an arithmetic number, because the mean of its divisors is an integer number (19198764585).

Almost surely, 2^{9010172160000} is an apocalyptic number.

9010172160000 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 9010172160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430814001600).

9010172160000 is an abundant number, since it is smaller than the sum of its proper divisors (27851455843200).

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

9010172160000 is a wasteful number, since it uses less digits than its factorization.

9010172160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 9010172160000 its reverse (612710109), we get a palindrome (9010784870109).

The spelling of 9010172160000 in words is "nine trillion, ten billion, one hundred seventy-two million, one hundred sixty thousand".