8120172480 has 224 divisors, whose sum is σ = 29522196480. Its totient is φ = 1852416000.

The previous prime is 8120172479. The next prime is 8120172499. The reversal of 8120172480 is 842710218.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×8120172480² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5045916 + ... + 5047524.

It is an arithmetic number, because the mean of its divisors is an integer number (131795520).

Almost surely, 2^8120172480 is an apocalyptic number.

8120172480 is a gapful number since it is divisible by the number (80) 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 8120172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761098240).

8120172480 is an abundant number, since it is smaller than the sum of its proper divisors (21402024000).

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

8120172480 is a wasteful number, since it uses less digits than its factorization.

8120172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 8120172480 is about 90111.9996448864. Note that the first 3 decimals coincide. The cubic root of 8120172480 is about 2009.9646438176.

Adding to 8120172480 its reverse (842710218), we get a palindrome (8962882698).

The spelling of 8120172480 in words is "eight billion, one hundred twenty million, one hundred seventy-two thousand, four hundred eighty".