16431693384960 has 2160 divisors, whose sum is σ = 71006696656896. Its totient is φ = 3553655390208.

The previous prime is 16431693384941. The next prime is 16431693384973. The reversal of 16431693384960 is 6948339613461.

16431693384960 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 169 + 3 + 384 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48758733912 + ... + 48758734248.

Almost surely, 2^{16431693384960} is an apocalyptic number.

16431693384960 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 16431693384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35503348328448).

16431693384960 is an abundant number, since it is smaller than the sum of its proper divisors (54575003271936).

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

16431693384960 is a wasteful number, since it uses less digits than its factorization.

16431693384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 16431693384960 in words is "sixteen trillion, four hundred thirty-one billion, six hundred ninety-three million, three hundred eighty-four thousand, nine hundred sixty".