16416872290 has 384 divisors, whose sum is σ = 42195686400. Its totient is φ = 4528742400.

The previous prime is 16416872267. The next prime is 16416872317. The reversal of 16416872290 is 9227861461.

16416872290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16416872290.

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 191 ways as a sum of consecutive naturals, for example, 162543240 + ... + 162543340.

It is an arithmetic number, because the mean of its divisors is an integer number (109884600).

Almost surely, 2^16416872290 is an apocalyptic number.

16416872290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16416872290 is an abundant number, since it is smaller than the sum of its proper divisors (25778814110).

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

16416872290 is a wasteful number, since it uses less digits than its factorization.

16416872290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 16416872290 in words is "sixteen billion, four hundred sixteen million, eight hundred seventy-two thousand, two hundred ninety".