16217210880 has 680 divisors, whose sum is σ = 63945870912. Its totient is φ = 3906994176.

The previous prime is 16217210873. The next prime is 16217210881. The reversal of 16217210880 is 8801271261.

16217210880 is a `hidden beast` number, since 1 + 621 + 7 + 21 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16217210881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345047017 + ... + 345047063.

Almost surely, 2^16217210880 is an apocalyptic number.

16217210880 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 16217210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31972935456).

16217210880 is an abundant number, since it is smaller than the sum of its proper divisors (47728660032).

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

16217210880 is an frugal number, since it uses more digits than its factorization.

16217210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 16217210880 in words is "sixteen billion, two hundred seventeen million, two hundred ten thousand, eight hundred eighty".