16883211072 has 672 divisors, whose sum is σ = 59516857344. Its totient is φ = 4180377600.

The previous prime is 16883211067. The next prime is 16883211073. The reversal of 16883211072 is 27011238861.

16883211072 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 (672).

It is a super-2 number, since 2×16883211072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 16883211072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16883211073) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 231276828 + ... + 231276900.

It is an arithmetic number, because the mean of its divisors is an integer number (88566752).

Almost surely, 2^16883211072 is an apocalyptic number.

16883211072 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 16883211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758428672).

16883211072 is an abundant number, since it is smaller than the sum of its proper divisors (42633646272).

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

16883211072 is a wasteful number, since it uses less digits than its factorization.

16883211072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 16883211072 in words is "sixteen billion, eight hundred eighty-three million, two hundred eleven thousand, seventy-two".