10030681179168 has 288 divisors, whose sum is σ = 29376349470720. Its totient is φ = 2994083389440.

The previous prime is 10030681179121. The next prime is 10030681179179. The reversal of 10030681179168 is 86197118603001.

It is a super-2 number, since 2×10030681179168² (a number of 27 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 10030681179168.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 76463073 + ... + 76594143.

It is an arithmetic number, because the mean of its divisors is an integer number (102001213440).

Almost surely, 2^{10030681179168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030681179168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688174735360).

10030681179168 is an abundant number, since it is smaller than the sum of its proper divisors (19345668291552).

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

10030681179168 is a wasteful number, since it uses less digits than its factorization.

10030681179168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131252 (or 131231 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 10030681179168 in words is "ten trillion, thirty billion, six hundred eighty-one million, one hundred seventy-nine thousand, one hundred sixty-eight".