10905689312 has 288 divisors, whose sum is σ = 28373496480. Its totient is φ = 4087480320.

The previous prime is 10905689281. The next prime is 10905689413. The reversal of 10905689312 is 21398650901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30894128 + ... + 30894480.

It is an arithmetic number, because the mean of its divisors is an integer number (98519085).

Almost surely, 2^10905689312 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 10905689312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186748240).

10905689312 is an abundant number, since it is smaller than the sum of its proper divisors (17467807168).

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

10905689312 is a wasteful number, since it uses less digits than its factorization.

10905689312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 10905689312 in words is "ten billion, nine hundred five million, six hundred eighty-nine thousand, three hundred twelve".