16217886180320 has 768 divisors, whose sum is σ = 45185325244416. Its totient is φ = 5445156864000.

The previous prime is 16217886180319. The next prime is 16217886180401. The reversal of 16217886180320 is 2308168871261.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20980447454 + ... + 20980448226.

It is an arithmetic number, because the mean of its divisors is an integer number (58835058912).

Almost surely, 2^{16217886180320} is an apocalyptic number.

16217886180320 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 16217886180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592662622208).

16217886180320 is an abundant number, since it is smaller than the sum of its proper divisors (28967439064096).

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

16217886180320 is a wasteful number, since it uses less digits than its factorization.

16217886180320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 53.

The spelling of 16217886180320 in words is "sixteen trillion, two hundred seventeen billion, eight hundred eighty-six million, one hundred eighty thousand, three hundred twenty".