16816973604480 has 1280 divisors, whose sum is σ = 76498796563200. Its totient is φ = 3427336323072.

The previous prime is 16816973604467. The next prime is 16816973604527. The reversal of 16816973604480 is 8440637961861.

It is a happy number.

16816973604480 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 6 + 97 + 3 + 60 + 4 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117138502 + ... + 117281978.

It is an arithmetic number, because the mean of its divisors is an integer number (59764684815).

Almost surely, 2^{16816973604480} is an apocalyptic number.

16816973604480 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 16816973604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38249398281600).

16816973604480 is an abundant number, since it is smaller than the sum of its proper divisors (59681822958720).

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

16816973604480 is a wasteful number, since it uses less digits than its factorization.

16816973604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143551 (or 143530 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 16816973604480 in words is "sixteen trillion, eight hundred sixteen billion, nine hundred seventy-three million, six hundred four thousand, four hundred eighty".