10205256115242 has 24 divisors (see below), whose sum is σ = 22156791530016. Its totient is φ = 3394766918376.

The previous prime is 10205256115231. The next prime is 10205256115259. The reversal of 10205256115242 is 24251165250201.

10205256115242 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 2 + 561 + 1 + 52 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10205256115197 and 10205256115206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582084328 + ... + 582101859.

It is an arithmetic number, because the mean of its divisors is an integer number (923199647084).

Almost surely, 2^{10205256115242} is an apocalyptic number.

10205256115242 is an abundant number, since it is smaller than the sum of its proper divisors (11951535414774).

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

10205256115242 is a wasteful number, since it uses less digits than its factorization.

10205256115242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164186682 (or 1164186679 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10205256115242 in words is "ten trillion, two hundred five billion, two hundred fifty-six million, one hundred fifteen thousand, two hundred forty-two".