16981913088000 has 4992 divisors, whose sum is σ = 81443977445376. Its totient is φ = 3439853568000.

The previous prime is 16981913087959. The next prime is 16981913088013. The reversal of 16981913088000 is 88031918961.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 458970623982 + ... + 458970624018.

It is an arithmetic number, because the mean of its divisors is an integer number (16314899328).

Almost surely, 2^{16981913088000} is an apocalyptic number.

16981913088000 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 16981913088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40721988722688).

16981913088000 is an abundant number, since it is smaller than the sum of its proper divisors (64462064357376).

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

16981913088000 is an equidigital number, since it uses as much as digits as its factorization.

16981913088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 16981913088000 in words is "sixteen trillion, nine hundred eighty-one billion, nine hundred thirteen million, eighty-eight thousand".