16721522017152 has 128 divisors (see below), whose sum is σ = 45951107997600. Its totient is φ = 5381292564480.

The previous prime is 16721522017141. The next prime is 16721522017231. The reversal of 16721522017152 is 25171022512761.

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

It is a super-3 number, since 3×16721522017152³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 216233598 + ... + 216310914.

Almost surely, 2^{16721522017152} is an apocalyptic number.

16721522017152 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 16721522017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22975553998800).

16721522017152 is an abundant number, since it is smaller than the sum of its proper divisors (29229585980448).

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

16721522017152 is a wasteful number, since it uses less digits than its factorization.

16721522017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96784 (or 96772 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 16721522017152 in words is "sixteen trillion, seven hundred twenty-one billion, five hundred twenty-two million, seventeen thousand, one hundred fifty-two".