16799351736960 has 1792 divisors, whose sum is σ = 68397677752320. Its totient is φ = 3914625024000.

The previous prime is 16799351736953. The next prime is 16799351737013. The reversal of 16799351736960 is 6963715399761.

16799351736960 is a `hidden beast` number, since 1 + 6 + 7 + 99 + 351 + 73 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8837112010 + ... + 8837113910.

It is an arithmetic number, because the mean of its divisors is an integer number (38168346960).

Almost surely, 2^{16799351736960} is an apocalyptic number.

16799351736960 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 16799351736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34198838876160).

16799351736960 is an abundant number, since it is smaller than the sum of its proper divisors (51598326015360).

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

16799351736960 is a wasteful number, since it uses less digits than its factorization.

16799351736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 347208120, while the sum is 72.

The spelling of 16799351736960 in words is "sixteen trillion, seven hundred ninety-nine billion, three hundred fifty-one million, seven hundred thirty-six thousand, nine hundred sixty".