10580480721 has 12 divisors (see below), whose sum is σ = 15305301648. Its totient is φ = 7043322264.

The previous prime is 10580480719. The next prime is 10580480777. The reversal of 10580480721 is 12708408501.

10580480721 is a `hidden beast` number, since 1 + 0 + 580 + 4 + 8 + 0 + 72 + 1 = 666.

10580480721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10580480721 - 2¹ = 10580480719 is a prime.

It is a super-2 number, since 2×10580480721² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10580480711) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 854475 + ... + 866768.

It is an arithmetic number, because the mean of its divisors is an integer number (1275441804).

Almost surely, 2^10580480721 is an apocalyptic number.

It is an amenable number.

10580480721 is a deficient number, since it is larger than the sum of its proper divisors (4724820927).

10580480721 is a wasteful number, since it uses less digits than its factorization.

10580480721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721932 (or 1721929 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10580480721 in words is "ten billion, five hundred eighty million, four hundred eighty thousand, seven hundred twenty-one".