10006007580 has 72 divisors (see below), whose sum is σ = 30405774672. Its totient is φ = 2663502336.

The previous prime is 10006007579. The next prime is 10006007603. The reversal of 10006007580 is 8570060001.

10006007580 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 600 + 7 + 58 + 0 = 666.

10006007580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 51972 + ... + 150708.

It is an arithmetic number, because the mean of its divisors is an integer number (422302426).

Almost surely, 2^10006007580 is an apocalyptic number.

10006007580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006007580 is an abundant number, since it is smaller than the sum of its proper divisors (20399767092).

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

10006007580 is a wasteful number, since it uses less digits than its factorization.

10006007580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99315 (or 99310 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10006007580 its reverse (8570060001), we get a palindrome (18576067581).

The spelling of 10006007580 in words is "ten billion, six million, seven thousand, five hundred eighty".