1289813196672 has 2560 divisors, whose sum is σ = 5626530201600. Its totient is φ = 282175488000.

The previous prime is 1289813196667. The next prime is 1289813196673. The reversal of 1289813196672 is 2766913189821.

It is a super-3 number, since 3×1289813196672³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1289813196673) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6112858647 + ... + 6112858857.

It is an arithmetic number, because the mean of its divisors is an integer number (2197863360).

Almost surely, 2^{1289813196672} is an apocalyptic number.

1289813196672 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 1289813196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813265100800).

1289813196672 is an abundant number, since it is smaller than the sum of its proper divisors (4336717004928).

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

1289813196672 is a wasteful number, since it uses less digits than its factorization.

1289813196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 1289813196672 in words is "one trillion, two hundred eighty-nine billion, eight hundred thirteen million, one hundred ninety-six thousand, six hundred seventy-two".