10905971584 has 128 divisors (see below), whose sum is σ = 22701772800. Its totient is φ = 5215924224.

The previous prime is 10905971579. The next prime is 10905971591. The reversal of 10905971584 is 48517950901.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79605564 + ... + 79605700.

It is an arithmetic number, because the mean of its divisors is an integer number (177357600).

Almost surely, 2^10905971584 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 10905971584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350886400).

10905971584 is an abundant number, since it is smaller than the sum of its proper divisors (11795801216).

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

10905971584 is a wasteful number, since it uses less digits than its factorization.

10905971584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 49.

The spelling of 10905971584 in words is "ten billion, nine hundred five million, nine hundred seventy-one thousand, five hundred eighty-four".