16801760080 has 40 divisors (see below), whose sum is σ = 44644678272. Its totient is φ = 5760603264.

The previous prime is 16801760077. The next prime is 16801760089. The reversal of 16801760080 is 8006710861.

16801760080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16801760089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15001012 + ... + 15002131.

Almost surely, 2^16801760080 is an apocalyptic number.

16801760080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16801760080 is an abundant number, since it is smaller than the sum of its proper divisors (27842918192).

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

16801760080 is a wasteful number, since it uses less digits than its factorization.

16801760080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30003163 (or 30003157 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

It can be divided in two parts, 16801 and 760080, that added together give a triangular number (776881 = T₁₂₄₆).

The spelling of 16801760080 in words is "sixteen billion, eight hundred one million, seven hundred sixty thousand, eighty".