16771100080 has 80 divisors (see below), whose sum is σ = 44597145600. Its totient is φ = 5745712896.

The previous prime is 16771100077. The next prime is 16771100089. The reversal of 16771100080 is 8000117761.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (16771100089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772737 + ... + 794143.

It is an arithmetic number, because the mean of its divisors is an integer number (557464320).

Almost surely, 2^16771100080 is an apocalyptic number.

16771100080 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 16771100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298572800).

16771100080 is an abundant number, since it is smaller than the sum of its proper divisors (27826045520).

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

16771100080 is a wasteful number, since it uses less digits than its factorization.

16771100080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22826 (or 22820 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 31.

The spelling of 16771100080 in words is "sixteen billion, seven hundred seventy-one million, one hundred thousand, eighty".