989712801792 has 1344 divisors, whose sum is σ = 3626488454400. Its totient is φ = 264076001280.

The previous prime is 989712801787. The next prime is 989712801811. The reversal of 989712801792 is 297108217989.

It is a super-3 number, since 3×989712801792³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11924250583 + ... + 11924250665.

It is an arithmetic number, because the mean of its divisors is an integer number (2698280100).

Almost surely, 2^989712801792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989712801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813244227200).

989712801792 is an abundant number, since it is smaller than the sum of its proper divisors (2636775652608).

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

989712801792 is a wasteful number, since it uses less digits than its factorization.

989712801792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 989712801792 in words is "nine hundred eighty-nine billion, seven hundred twelve million, eight hundred one thousand, seven hundred ninety-two".