16421105376 has 360 divisors, whose sum is σ = 55074955320. Its totient is φ = 4784292864.

The previous prime is 16421105297. The next prime is 16421105399. The reversal of 16421105376 is 67350112461.

16421105376 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 110 + 537 + 6 = 666.

16421105376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16421105376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16421105376.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 8321926 + ... + 8323898.

It is an arithmetic number, because the mean of its divisors is an integer number (152985987).

Almost surely, 2^16421105376 is an apocalyptic number.

16421105376 is a gapful number since it is divisible by the number (16) 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 16421105376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27537477660).

16421105376 is an abundant number, since it is smaller than the sum of its proper divisors (38653849944).

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

16421105376 is a wasteful number, since it uses less digits than its factorization.

16421105376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 16421105376 in words is "sixteen billion, four hundred twenty-one million, one hundred five thousand, three hundred seventy-six".