10116068785920 has 432 divisors, whose sum is σ = 37326114614880. Its totient is φ = 2520662409216.

The previous prime is 10116068785913. The next prime is 10116068785939. The reversal of 10116068785920 is 2958786061101.

It is a happy number.

10116068785920 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 606 + 8 + 7 + 8 + 5 + 9 + 20 = 666.

10116068785920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27035952 + ... + 27407568.

It is an arithmetic number, because the mean of its divisors is an integer number (86403043090).

Almost surely, 2^{10116068785920} is an apocalyptic number.

10116068785920 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 10116068785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18663057307440).

10116068785920 is an abundant number, since it is smaller than the sum of its proper divisors (27210045828960).

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

10116068785920 is a wasteful number, since it uses less digits than its factorization.

10116068785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371800 (or 371783 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10116068785920 in words is "ten trillion, one hundred sixteen billion, sixty-eight million, seven hundred eighty-five thousand, nine hundred twenty".