10905734784 has 192 divisors, whose sum is σ = 33858410400. Its totient is φ = 3101091840.

The previous prime is 10905734783. The next prime is 10905734797. The reversal of 10905734784 is 48743750901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10905734783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4307599 + ... + 4310129.

Almost surely, 2^10905734784 is an apocalyptic number.

10905734784 is a gapful number since it is divisible by the number (14) 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 10905734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16929205200).

10905734784 is an abundant number, since it is smaller than the sum of its proper divisors (22952675616).

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

10905734784 is a wasteful number, since it uses less digits than its factorization.

10905734784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 10905734784 in words is "ten billion, nine hundred five million, seven hundred thirty-four thousand, seven hundred eighty-four".