16972968505000 has 40 divisors (see below), whose sum is σ = 39767665218930. Its totient is φ = 6789187400000.

The previous prime is 16972968504937. The next prime is 16972968505007. The reversal of 16972968505000 is 50586927961.

It can be written as a sum of positive squares in 5 ways, for example, as 3687482959524 + 13285485545476 = 1920282^2 + 3644926^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (16972968505007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1697291851 + ... + 1697301850.

Almost surely, 2^{16972968505000} is an apocalyptic number.

16972968505000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16972968505000 is an abundant number, since it is smaller than the sum of its proper divisors (22794696713930).

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

16972968505000 is an equidigital number, since it uses as much as digits as its factorization.

16972968505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394593727 (or 3394593708 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 16972968505000 in words is "sixteen trillion, nine hundred seventy-two billion, nine hundred sixty-eight million, five hundred five thousand".