16982038080 has 672 divisors, whose sum is σ = 71361239040. Its totient is φ = 3622993920.

The previous prime is 16982038013. The next prime is 16982038097. The reversal of 16982038080 is 8083028961.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18123372 + ... + 18124308.

It is an arithmetic number, because the mean of its divisors is an integer number (106192320).

Almost surely, 2^16982038080 is an apocalyptic number.

16982038080 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 16982038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35680619520).

16982038080 is an abundant number, since it is smaller than the sum of its proper divisors (54379200960).

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

16982038080 is a wasteful number, since it uses less digits than its factorization.

16982038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 16982038080 in words is "sixteen billion, nine hundred eighty-two million, thirty-eight thousand, eighty".