16381809669120 has 704 divisors, whose sum is σ = 60355997669376. Its totient is φ = 3714835415040.

The previous prime is 16381809669103. The next prime is 16381809669161. The reversal of 16381809669120 is 2196690818361.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16871070235 + ... + 16871071205.

Almost surely, 2^{16381809669120} is an apocalyptic number.

16381809669120 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 16381809669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30177998834688).

16381809669120 is an abundant number, since it is smaller than the sum of its proper divisors (43974188000256).

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

16381809669120 is a wasteful number, since it uses less digits than its factorization.

16381809669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 16381809669120 in words is "sixteen trillion, three hundred eighty-one billion, eight hundred nine million, six hundred sixty-nine thousand, one hundred twenty".