10580502000705 has 128 divisors (see below), whose sum is σ = 20880797822976. Its totient is φ = 4455032140800.

The previous prime is 10580502000689. The next prime is 10580502000781. The reversal of 10580502000705 is 50700020508501.

It is a happy number.

It is not a de Polignac number, because 10580502000705 - 2⁴ = 10580502000689 is a prime.

It is a super-2 number, since 2×10580502000705² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1647793395 + ... + 1647799815.

It is an arithmetic number, because the mean of its divisors is an integer number (163131232992).

Almost surely, 2^{10580502000705} is an apocalyptic number.

10580502000705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10580502000705 is a deficient number, since it is larger than the sum of its proper divisors (10300295822271).

10580502000705 is a wasteful number, since it uses less digits than its factorization.

10580502000705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8887.

The product of its (nonzero) digits is 14000, while the sum is 33.

The spelling of 10580502000705 in words is "ten trillion, five hundred eighty billion, five hundred two million, seven hundred five", and thus it is an aban number.