10060561105938 has 320 divisors, whose sum is σ = 28737033811200. Its totient is φ = 2560988897280.

The previous prime is 10060561105817. The next prime is 10060561106009. The reversal of 10060561105938 is 83950116506001.

10060561105938 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 56 + 1 + 1 + 0 + 593 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10060561105893 and 10060561105902.

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 159 ways as a sum of consecutive naturals, for example, 505825498 + ... + 505845386.

It is an arithmetic number, because the mean of its divisors is an integer number (89803230660).

Almost surely, 2^{10060561105938} is an apocalyptic number.

10060561105938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10060561105938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368516905600).

10060561105938 is an abundant number, since it is smaller than the sum of its proper divisors (18676472705262).

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

10060561105938 is a wasteful number, since it uses less digits than its factorization.

10060561105938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21327 (or 21318 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10060561105938 in words is "ten trillion, sixty billion, five hundred sixty-one million, one hundred five thousand, nine hundred thirty-eight".