10579217680 has 20 divisors (see below), whose sum is σ = 24596681292. Its totient is φ = 4231687040.

The previous prime is 10579217669. The next prime is 10579217713. The reversal of 10579217680 is 8671297501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1920542976 + 8658674704 = 43824^2 + 93052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10579217680² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10579217680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66120031 + ... + 66120190.

Almost surely, 2^10579217680 is an apocalyptic number.

10579217680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10579217680 is an abundant number, since it is smaller than the sum of its proper divisors (14017463612).

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

10579217680 is a wasteful number, since it uses less digits than its factorization.

10579217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132240234 (or 132240228 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

It can be divided in two parts, 1057921 and 7680, that added together give a palindrome (1065601).

The spelling of 10579217680 in words is "ten billion, five hundred seventy-nine million, two hundred seventeen thousand, six hundred eighty".