16170480000 has 480 divisors, whose sum is σ = 59816602560. Its totient is φ = 4188672000.

The previous prime is 16170479999. The next prime is 16170480013. The reversal of 16170480000 is 8407161.

It is a happy number.

16170480000 is a `hidden beast` number, since 1 + 617 + 0 + 48 + 0 + 0 + 0 + 0 = 666.

16170480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×16170480000² (a number of 21 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 26639697 + ... + 26640303.

It is an arithmetic number, because the mean of its divisors is an integer number (124617922).

Almost surely, 2^16170480000 is an apocalyptic number.

16170480000 is a gapful number since it is divisible by the number (10) 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 16170480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29908301280).

16170480000 is an abundant number, since it is smaller than the sum of its proper divisors (43646122560).

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

16170480000 is an equidigital number, since it uses as much as digits as its factorization.

16170480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 16170480000 its reverse (8407161), we get a palindrome (16178887161).

The spelling of 16170480000 in words is "sixteen billion, one hundred seventy million, four hundred eighty thousand".