16170432960 has 224 divisors, whose sum is σ = 56384976384. Its totient is φ = 3893760000.

The previous prime is 16170432917. The next prime is 16170432979. The reversal of 16170432960 is 6923407161.

16170432960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16170432960² (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 31 ways as a sum of consecutive naturals, for example, 1589490 + ... + 1599630.

Almost surely, 2^16170432960 is an apocalyptic number.

16170432960 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 16170432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28192488192).

16170432960 is an abundant number, since it is smaller than the sum of its proper divisors (40214543424).

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

16170432960 is a wasteful number, since it uses less digits than its factorization.

16170432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 16170432960 in words is "sixteen billion, one hundred seventy million, four hundred thirty-two thousand, nine hundred sixty".