10864530432 has 352 divisors, whose sum is σ = 37324179200. Its totient is φ = 3057647616.

The previous prime is 10864530407. The next prime is 10864530433. The reversal of 10864530432 is 23403546801.

10864530432 is a `hidden beast` number, since 1 + 0 + 8 + 645 + 3 + 0 + 4 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864530433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14127744 + ... + 14128512.

It is an arithmetic number, because the mean of its divisors is an integer number (106034600).

Almost surely, 2^10864530432 is an apocalyptic number.

10864530432 is a gapful number since it is divisible by the number (12) 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 10864530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662089600).

10864530432 is an abundant number, since it is smaller than the sum of its proper divisors (26459648768).

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

10864530432 is an equidigital number, since it uses as much as digits as its factorization.

10864530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10864530432 in words is "ten billion, eight hundred sixty-four million, five hundred thirty thousand, four hundred thirty-two".