9028172160000 has 1980 divisors, whose sum is σ = 38633790617136. Its totient is φ = 1988444160000.

The previous prime is 9028172159939. The next prime is 9028172160037. The reversal of 9028172160000 is 612718209.

9028172160000 is a `hidden beast` number, since 9 + 0 + 28 + 1 + 7 + 21 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 38747519884 + ... + 38747520116.

Almost surely, 2^{9028172160000} is an apocalyptic number.

9028172160000 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 9028172160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19316895308568).

9028172160000 is an abundant number, since it is smaller than the sum of its proper divisors (29605618457136).

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

9028172160000 is a wasteful number, since it uses less digits than its factorization.

9028172160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 9028172160000 its reverse (612718209), we get a palindrome (9028784878209).

The spelling of 9028172160000 in words is "nine trillion, twenty-eight billion, one hundred seventy-two million, one hundred sixty thousand".