1689875299392 has 1792 divisors, whose sum is σ = 6236061696000. Its totient is φ = 400573071360.

The previous prime is 1689875299337. The next prime is 1689875299459. The reversal of 1689875299392 is 2939925789861.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23148976668 + ... + 23148976740.

Almost surely, 2^{1689875299392} is an apocalyptic number.

1689875299392 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 1689875299392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118030848000).

1689875299392 is an abundant number, since it is smaller than the sum of its proper divisors (4546186396608).

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

1689875299392 is a wasteful number, since it uses less digits than its factorization.

1689875299392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 78.

The spelling of 1689875299392 in words is "one trillion, six hundred eighty-nine billion, eight hundred seventy-five million, two hundred ninety-nine thousand, three hundred ninety-two".