16689107998080 has 256 divisors, whose sum is σ = 67551151910400. Its totient is φ = 3814653229056.

The previous prime is 16689107998063. The next prime is 16689107998081. The reversal of 16689107998080 is 8089970198661.

16689107998080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16689107998080³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16689107998081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68865102 + ... + 69107021.

It is an arithmetic number, because the mean of its divisors is an integer number (263871687150).

Almost surely, 2^{16689107998080} is an apocalyptic number.

16689107998080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16689107998080 is an abundant number, since it is smaller than the sum of its proper divisors (50862043912320).

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

16689107998080 is a wasteful number, since it uses less digits than its factorization.

16689107998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137972158 (or 137972140 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 16689107998080 in words is "sixteen trillion, six hundred eighty-nine billion, one hundred seven million, nine hundred ninety-eight thousand, eighty".