16873732563072 has 384 divisors, whose sum is σ = 56386113100800. Its totient is φ = 4376386713600.

The previous prime is 16873732563067. The next prime is 16873732563109. The reversal of 16873732563072 is 27036523737861.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16873732563072² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16873732562997 and 16873732563015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224708829 + ... + 224783907.

It is an arithmetic number, because the mean of its divisors is an integer number (146838836200).

Almost surely, 2^{16873732563072} is an apocalyptic number.

16873732563072 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 16873732563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28193056550400).

16873732563072 is an abundant number, since it is smaller than the sum of its proper divisors (39512380537728).

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

16873732563072 is a wasteful number, since it uses less digits than its factorization.

16873732563072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75816 (or 75793 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 60.

The spelling of 16873732563072 in words is "sixteen trillion, eight hundred seventy-three billion, seven hundred thirty-two million, five hundred sixty-three thousand, seventy-two".