10580828067 has 40 divisors (see below), whose sum is σ = 17124986736. Its totient is φ = 6484520448.

The previous prime is 10580828029. The next prime is 10580828113. The reversal of 10580828067 is 76082808501.

10580828067 is a `hidden beast` number, since 1 + 0 + 580 + 8 + 2 + 8 + 0 + 67 = 666.

It is not a de Polignac number, because 10580828067 - 2²⁴ = 10564050851 is a prime.

It is a super-2 number, since 2×10580828067² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10580820067) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30138 + ... + 148559.

Almost surely, 2^10580828067 is an apocalyptic number.

10580828067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10580828067 is a deficient number, since it is larger than the sum of its proper divisors (6544158669).

10580828067 is a wasteful number, since it uses less digits than its factorization.

10580828067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178769 (or 178760 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10580828067 in words is "ten billion, five hundred eighty million, eight hundred twenty-eight thousand, sixty-seven".