16506986404160 has 448 divisors, whose sum is σ = 46646031168000. Its totient is φ = 5445980946432.

The previous prime is 16506986404037. The next prime is 16506986404231. The reversal of 16506986404160 is 6140468960561.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 16506986404096 and 16506986404105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6115962491 + ... + 6115965189.

Almost surely, 2^{16506986404160} is an apocalyptic number.

16506986404160 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 16506986404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23323015584000).

16506986404160 is an abundant number, since it is smaller than the sum of its proper divisors (30139044763840).

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

16506986404160 is a wasteful number, since it uses less digits than its factorization.

16506986404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 56.

The spelling of 16506986404160 in words is "sixteen trillion, five hundred six billion, nine hundred eighty-six million, four hundred four thousand, one hundred sixty".