16968981120 has 1024 divisors, whose sum is σ = 73287244800. Its totient is φ = 3236954112.

The previous prime is 16968981109. The next prime is 16968981157. The reversal of 16968981120 is 2118986961.

16968981120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86136862 + ... + 86137058.

It is an arithmetic number, because the mean of its divisors is an integer number (71569575).

Almost surely, 2^16968981120 is an apocalyptic number.

16968981120 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 16968981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36643622400).

16968981120 is an abundant number, since it is smaller than the sum of its proper divisors (56318263680).

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

16968981120 is a wasteful number, since it uses less digits than its factorization.

16968981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 16968981120 in words is "sixteen billion, nine hundred sixty-eight million, nine hundred eighty-one thousand, one hundred twenty".