16968137303040 has 1408 divisors, whose sum is σ = 70066080055296. Its totient is φ = 3401367552000.

The previous prime is 16968137303003. The next prime is 16968137303063. The reversal of 16968137303040 is 4030373186961.

It is a tau number, because it is divible by the number of its divisors (1408).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17122236945 + ... + 17122237935.

Almost surely, 2^{16968137303040} is an apocalyptic number.

16968137303040 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 16968137303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35033040027648).

16968137303040 is an abundant number, since it is smaller than the sum of its proper divisors (53097942752256).

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

16968137303040 is a wasteful number, since it uses less digits than its factorization.

16968137303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 16968137303040 in words is "sixteen trillion, nine hundred sixty-eight billion, one hundred thirty-seven million, three hundred three thousand, forty".