16880214000 has 320 divisors, whose sum is σ = 60202396800. Its totient is φ = 4042137600.

The previous prime is 16880213993. The next prime is 16880214079. The reversal of 16880214000 is 41208861.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2883076 + ... + 2888924.

It is an arithmetic number, because the mean of its divisors is an integer number (188132490).

Almost surely, 2^16880214000 is an apocalyptic number.

16880214000 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 16880214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30101198400).

16880214000 is an abundant number, since it is smaller than the sum of its proper divisors (43322182800).

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

16880214000 is a wasteful number, since it uses less digits than its factorization.

16880214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 16880214000 in words is "sixteen billion, eight hundred eighty million, two hundred fourteen thousand".