16434939860820 has 576 divisors, whose sum is σ = 58775792275200. Its totient is φ = 3682076590080.

The previous prime is 16434939860797. The next prime is 16434939860831. The reversal of 16434939860820 is 2806893943461.

16434939860820 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 493 + 9 + 8 + 60 + 82 + 0 = 666.

16434939860820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116548116 + ... + 116689044.

Almost surely, 2^{16434939860820} is an apocalyptic number.

16434939860820 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 16434939860820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29387896137600).

16434939860820 is an abundant number, since it is smaller than the sum of its proper divisors (42340852414380).

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

16434939860820 is a wasteful number, since it uses less digits than its factorization.

16434939860820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141080 (or 141075 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 16434939860820 in words is "sixteen trillion, four hundred thirty-four billion, nine hundred thirty-nine million, eight hundred sixty thousand, eight hundred twenty".