10515580928 has 96 divisors (see below), whose sum is σ = 22983367680. Its totient is φ = 4788387840.

The previous prime is 10515580847. The next prime is 10515580937. The reversal of 10515580928 is 82908551501.

It is a super-2 number, since 2×10515580928² (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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074425 + ... + 1084167.

It is an arithmetic number, because the mean of its divisors is an integer number (239410080).

Almost surely, 2^10515580928 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 10515580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491683840).

10515580928 is an abundant number, since it is smaller than the sum of its proper divisors (12467786752).

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

10515580928 is an equidigital number, since it uses as much as digits as its factorization.

10515580928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9793 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 44.

The spelling of 10515580928 in words is "ten billion, five hundred fifteen million, five hundred eighty thousand, nine hundred twenty-eight".