1689110103072 has 768 divisors, whose sum is σ = 5544539320320. Its totient is φ = 440023449600.

The previous prime is 1689110103061. The next prime is 1689110103091. The reversal of 1689110103072 is 2703010119861.

It is a self number, because there is not a number n which added to its sum of digits gives 1689110103072.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7249399468 + ... + 7249399700.

It is an arithmetic number, because the mean of its divisors is an integer number (7219452240).

Almost surely, 2^{1689110103072} is an apocalyptic number.

1689110103072 is a gapful number since it is divisible by the number (12) 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 1689110103072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772269660160).

1689110103072 is an abundant number, since it is smaller than the sum of its proper divisors (3855429217248).

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

1689110103072 is a wasteful number, since it uses less digits than its factorization.

1689110103072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 1689110103072 in words is "one trillion, six hundred eighty-nine billion, one hundred ten million, one hundred three thousand, seventy-two".