16796969127072 has 864 divisors, whose sum is σ = 53429064998400. Its totient is φ = 4997557813248.

The previous prime is 16796969127067. The next prime is 16796969127131. The reversal of 16796969127072 is 27072196969761.

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 143 ways as a sum of consecutive naturals, for example, 23104496373 + ... + 23104497099.

It is an arithmetic number, because the mean of its divisors is an integer number (61839195600).

Almost surely, 2^{16796969127072} is an apocalyptic number.

16796969127072 is a gapful number since it is divisible by the number (12) 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 16796969127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26714532499200).

16796969127072 is an abundant number, since it is smaller than the sum of its proper divisors (36632095871328).

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

16796969127072 is a wasteful number, since it uses less digits than its factorization.

16796969127072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 16796969127072 in words is "sixteen trillion, seven hundred ninety-six billion, nine hundred sixty-nine million, one hundred twenty-seven thousand, seventy-two".