10641452584 has 128 divisors (see below), whose sum is σ = 24241029120. Its totient is φ = 4283020800.

The previous prime is 10641452551. The next prime is 10641452597. The reversal of 10641452584 is 48525414601.

10641452584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10641452584² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21850789 + ... + 21851275.

It is an arithmetic number, because the mean of its divisors is an integer number (189383040).

Almost surely, 2^10641452584 is an apocalyptic number.

10641452584 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 10641452584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120514560).

10641452584 is an abundant number, since it is smaller than the sum of its proper divisors (13599576536).

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

10641452584 is a wasteful number, since it uses less digits than its factorization.

10641452584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 10641452584 in words is "ten billion, six hundred forty-one million, four hundred fifty-two thousand, five hundred eighty-four".