16991005968000 has 1536 divisors, whose sum is σ = 66336236928000. Its totient is φ = 4154084352000.

The previous prime is 16991005967921. The next prime is 16991005968007. The reversal of 16991005968000 is 86950019961.

It is a super-2 number, since 2×16991005968000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16991005968007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10815407215 + ... + 10815408785.

It is an arithmetic number, because the mean of its divisors is an integer number (43187654250).

Almost surely, 2^{16991005968000} is an apocalyptic number.

16991005968000 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 16991005968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33168118464000).

16991005968000 is an abundant number, since it is smaller than the sum of its proper divisors (49345230960000).

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

16991005968000 is a wasteful number, since it uses less digits than its factorization.

16991005968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 16991005968000 in words is "sixteen trillion, nine hundred ninety-one billion, five million, nine hundred sixty-eight thousand".