10579360219872 has 96 divisors (see below), whose sum is σ = 29136599138304. Its totient is φ = 3356750937600.

The previous prime is 10579360219871. The next prime is 10579360219889. The reversal of 10579360219872 is 27891206397501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10579360219872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10579360219871) 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 15 ways as a sum of consecutive naturals, for example, 28956928 + ... + 29319999.

It is an arithmetic number, because the mean of its divisors is an integer number (303506241024).

Almost surely, 2^{10579360219872} is an apocalyptic number.

10579360219872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10579360219872 is an abundant number, since it is smaller than the sum of its proper divisors (18557238918432).

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

10579360219872 is a wasteful number, since it uses less digits than its factorization.

10579360219872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58277032 (or 58277024 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 10579360219872 in words is "ten trillion, five hundred seventy-nine billion, three hundred sixty million, two hundred nineteen thousand, eight hundred seventy-two".