889985507712 has 128 divisors (see below), whose sum is σ = 2704292021760. Its totient is φ = 254041546752.

The previous prime is 889985507707. The next prime is 889985507759. The reversal of 889985507712 is 217705589988.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×889985507712³ (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2701608 + ... + 3013080.

It is an arithmetic number, because the mean of its divisors is an integer number (21127281420).

Almost surely, 2^889985507712 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 889985507712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352146010880).

889985507712 is an abundant number, since it is smaller than the sum of its proper divisors (1814306514048).

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

889985507712 is a wasteful number, since it uses less digits than its factorization.

889985507712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312560 (or 312548 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 69.

The spelling of 889985507712 in words is "eight hundred eighty-nine billion, nine hundred eighty-five million, five hundred seven thousand, seven hundred twelve".