10905972816 has 80 divisors (see below), whose sum is σ = 28749142080. Its totient is φ = 3561292800.

The previous prime is 10905972799. The next prime is 10905972929. The reversal of 10905972816 is 61827950901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1877116 + ... + 1882916.

It is an arithmetic number, because the mean of its divisors is an integer number (359364276).

Almost surely, 2^10905972816 is an apocalyptic number.

10905972816 is a gapful number since it is divisible by the number (16) 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 10905972816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374571040).

10905972816 is an abundant number, since it is smaller than the sum of its proper divisors (17843169264).

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

10905972816 is a wasteful number, since it uses less digits than its factorization.

10905972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 10905972816 in words is "ten billion, nine hundred five million, nine hundred seventy-two thousand, eight hundred sixteen".