10010600505018 has 12 divisors (see below), whose sum is σ = 21689634427578. Its totient is φ = 3336866835000.

The previous prime is 10010600505011. The next prime is 10010600505019. The reversal of 10010600505018 is 81050500601001.

10010600505018 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 600 + 5 + 0 + 50 + 1 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9894944058129 + 115656446889 = 3145623^2 + 340083^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10010600504982 and 10010600505000.

It is not an unprimeable number, because it can be changed into a prime (10010600505011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278072236233 + ... + 278072236268.

Almost surely, 2^{10010600505018} is an apocalyptic number.

10010600505018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10010600505018 is an abundant number, since it is smaller than the sum of its proper divisors (11679033922560).

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

10010600505018 is a wasteful number, since it uses less digits than its factorization.

10010600505018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556144472509 (or 556144472506 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 10010600505018 in words is "ten trillion, ten billion, six hundred million, five hundred five thousand, eighteen".