16830172032 has 128 divisors (see below), whose sum is σ = 47492016000. Its totient is φ = 5265782784.

The previous prime is 16830172019. The next prime is 16830172097. The reversal of 16830172032 is 23027103861.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 16830171984 and 16830172002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784683 + ... + 805845.

It is an arithmetic number, because the mean of its divisors is an integer number (371031375).

Almost surely, 2^16830172032 is an apocalyptic number.

16830172032 is a gapful number since it is divisible by the number (12) 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 16830172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23746008000).

16830172032 is an abundant number, since it is smaller than the sum of its proper divisors (30661843968).

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

16830172032 is a wasteful number, since it uses less digits than its factorization.

16830172032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21308 (or 21296 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 16830172032 its reverse (23027103861), we get a palindrome (39857275893).

The spelling of 16830172032 in words is "sixteen billion, eight hundred thirty million, one hundred seventy-two thousand, thirty-two".