16006414080 has 72 divisors (see below), whose sum is σ = 51120497232. Its totient is φ = 4268376064.

The previous prime is 16006414069. The next prime is 16006414111. The reversal of 16006414080 is 8041460061.

16006414080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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, 2080329 + ... + 2088008.

It is an arithmetic number, because the mean of its divisors is an integer number (710006906).

Almost surely, 2^16006414080 is an apocalyptic number.

16006414080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16006414080 is an abundant number, since it is smaller than the sum of its proper divisors (35114083152).

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

16006414080 is an equidigital number, since it uses as much as digits as its factorization.

16006414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168361 (or 4168347 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 16006414080 in words is "sixteen billion, six million, four hundred fourteen thousand, eighty".