10866530304 has 144 divisors (see below), whose sum is σ = 35868465360. Its totient is φ = 3104686080.

The previous prime is 10866530263. The next prime is 10866530321. The reversal of 10866530304 is 40303566801.

10866530304 is a `hidden beast` number, since 10 + 86 + 6 + 530 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86914 + ... + 171134.

It is an arithmetic number, because the mean of its divisors is an integer number (249086565).

Almost surely, 2^10866530304 is an apocalyptic number.

10866530304 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 10866530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17934232680).

10866530304 is an abundant number, since it is smaller than the sum of its proper divisors (25001935056).

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

10866530304 is an equidigital number, since it uses as much as digits as its factorization.

10866530304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84256 (or 84233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10866530304 in words is "ten billion, eight hundred sixty-six million, five hundred thirty thousand, three hundred four".