1002889493760 has 576 divisors, whose sum is σ = 4090771206144. Its totient is φ = 203307417600.

The previous prime is 1002889493747. The next prime is 1002889493789. The reversal of 1002889493760 is 673949882001.

It is a self number, because there is not a number n which added to its sum of digits gives 1002889493760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12081517 + ... + 12164243.

It is an arithmetic number, because the mean of its divisors is an integer number (7102033344).

Almost surely, 2^{1002889493760} is an apocalyptic number.

1002889493760 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 1002889493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045385603072).

1002889493760 is an abundant number, since it is smaller than the sum of its proper divisors (3087881712384).

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

1002889493760 is a wasteful number, since it uses less digits than its factorization.

1002889493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82810 (or 82796 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 1002889493760 in words is "one trillion, two billion, eight hundred eighty-nine million, four hundred ninety-three thousand, seven hundred sixty".