16972333056000 has 3024 divisors, whose sum is σ = 76432688481240. Its totient is φ = 3745618329600.

The previous prime is 16972333055981. The next prime is 16972333056043. The reversal of 16972333056000 is 65033327961.

16972333056000 is a `hidden beast` number, since 1 + 6 + 9 + 7 + 2 + 3 + 3 + 30 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5171294306304 + 11801038749696 = 2274048^2 + 3435264^2 .

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 585252863986 + ... + 585252864014.

Almost surely, 2^{16972333056000} is an apocalyptic number.

16972333056000 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 16972333056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38216344240620).

16972333056000 is an abundant number, since it is smaller than the sum of its proper divisors (59460355425240).

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

16972333056000 is an frugal number, since it uses more digits than its factorization.

16972333056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 16972333056000 in words is "sixteen trillion, nine hundred seventy-two billion, three hundred thirty-three million, fifty-six thousand".