10042533335205 has 24 divisors (see below), whose sum is σ = 19893780321792. Its totient is φ = 4590872381664.

The previous prime is 10042533335189. The next prime is 10042533335251. The reversal of 10042533335205 is 50253333524001.

10042533335205 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 533 + 33 + 52 + 0 + 5 = 666.

It is not a de Polignac number, because 10042533335205 - 2⁴ = 10042533335189 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10042533335205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15940528789 + ... + 15940529418.

It is an arithmetic number, because the mean of its divisors is an integer number (828907513408).

Almost surely, 2^{10042533335205} is an apocalyptic number.

10042533335205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10042533335205 is a deficient number, since it is larger than the sum of its proper divisors (9851246986587).

10042533335205 is a wasteful number, since it uses less digits than its factorization.

10042533335205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31881058225 (or 31881058222 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 10042533335205 its reverse (50253333524001), we get a palindrome (60295866859206).

The spelling of 10042533335205 in words is "ten trillion, forty-two billion, five hundred thirty-three million, three hundred thirty-five thousand, two hundred five".