8172160000 has 165 divisors, whose sum is σ = 20596142281. Its totient is φ = 3239936000.

The previous prime is 8172159971. The next prime is 8172160001. The reversal of 8172160000 is 612718.

The square root of 8172160000 is 90400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7988069376 + 184090624 = 89376^2 + 13568^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8172160001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 72319944 + ... + 72320056.

Almost surely, 2^8172160000 is an apocalyptic number.

8172160000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8172160000 is the 90400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8172160000

8172160000 is an abundant number, since it is smaller than the sum of its proper divisors (12423982281).

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

8172160000 is an frugal number, since it uses more digits than its factorization.

8172160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The cubic root of 8172160000 is about 2014.2449662536.

Multiplying 8172160000 by its sum of digits (25), we get a square (204304000000 = 452000²).

8172160000 divided by its sum of digits (25) gives a square (326886400 = 18080²).

Adding to 8172160000 its reverse (612718), we get a palindrome (8172772718).

The spelling of 8172160000 in words is "eight billion, one hundred seventy-two million, one hundred sixty thousand".