10668019345920 has 960 divisors, whose sum is σ = 40786096665600. Its totient is φ = 2565144576000.

The previous prime is 10668019345873. The next prime is 10668019346077. The reversal of 10668019345920 is 2954391086601.

10668019345920 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 0 + 19 + 34 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10668019345920² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1226345731 + ... + 1226354429.

It is an arithmetic number, because the mean of its divisors is an integer number (42485517360).

Almost surely, 2^{10668019345920} is an apocalyptic number.

10668019345920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10668019345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20393048332800).

10668019345920 is an abundant number, since it is smaller than the sum of its proper divisors (30118077319680).

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

10668019345920 is a wasteful number, since it uses less digits than its factorization.

10668019345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10668019345920 in words is "ten trillion, six hundred sixty-eight billion, nineteen million, three hundred forty-five thousand, nine hundred twenty".