10580871456 has 48 divisors (see below), whose sum is σ = 30860877600. Its totient is φ = 3526956864.

The previous prime is 10580871439. The next prime is 10580871467. The reversal of 10580871456 is 65417808501.

10580871456 is a `hidden beast` number, since 1 + 0 + 580 + 8 + 7 + 14 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10580871456² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6122326 + ... + 6124053.

It is an arithmetic number, because the mean of its divisors is an integer number (642934950).

Almost surely, 2^10580871456 is an apocalyptic number.

10580871456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10580871456 is an abundant number, since it is smaller than the sum of its proper divisors (20280006144).

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

10580871456 is a wasteful number, since it uses less digits than its factorization.

10580871456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246398 (or 12246384 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 10580871456 in words is "ten billion, five hundred eighty million, eight hundred seventy-one thousand, four hundred fifty-six".