10580034024 has 160 divisors (see below), whose sum is σ = 35650084800. Its totient is φ = 2863745280.

The previous prime is 10580034001. The next prime is 10580034037. The reversal of 10580034024 is 42043008501.

10580034024 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 2×10580034024² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 24804 + ... + 147564.

It is an arithmetic number, because the mean of its divisors is an integer number (222813030).

Almost surely, 2^10580034024 is an apocalyptic number.

10580034024 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 10580034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825042400).

10580034024 is an abundant number, since it is smaller than the sum of its proper divisors (25070050776).

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

10580034024 is a wasteful number, since it uses less digits than its factorization.

10580034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122805 (or 122792 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10580034024 in words is "ten billion, five hundred eighty million, thirty-four thousand, twenty-four".