202102853688890 has 576 divisors, whose sum is σ = 506032588244736. Its totient is φ = 56680629350400.

The previous prime is 202102853688889. The next prime is 202102853688899. The reversal of 202102853688890 is 98886358201202.

202102853688890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (202102853688899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11485065572 + ... + 11485083168.

It is an arithmetic number, because the mean of its divisors is an integer number (878528799036).

Almost surely, 2^{202102853688890} is an apocalyptic number.

202102853688890 is an abundant number, since it is smaller than the sum of its proper divisors (303929734555846).

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

202102853688890 is a wasteful number, since it uses less digits than its factorization.

202102853688890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17795 (or 17753 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 62.

The spelling of 202102853688890 in words is "two hundred two trillion, one hundred two billion, eight hundred fifty-three million, six hundred eighty-eight thousand, eight hundred ninety".