205700216022153 has 64 divisors (see below), whose sum is σ = 307657181184000. Its totient is φ = 135828388080000.

The previous prime is 205700216022149. The next prime is 205700216022163. The reversal of 205700216022153 is 351220612007502.

205700216022153 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 0 + 0 + 21 + 602 + 21 + 5 + 3 = 666.

It is not a de Polignac number, because 205700216022153 - 2² = 205700216022149 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205700216022163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1586748648 + ... + 1586878278.

It is an arithmetic number, because the mean of its divisors is an integer number (4807143456000).

Almost surely, 2^{205700216022153} is an apocalyptic number.

It is an amenable number.

205700216022153 is a deficient number, since it is larger than the sum of its proper divisors (101956965161847).

205700216022153 is a wasteful number, since it uses less digits than its factorization.

205700216022153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131171 (or 131165 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 205700216022153 its reverse (351220612007502), we get a palindrome (556920828029655).

The spelling of 205700216022153 in words is "two hundred five trillion, seven hundred billion, two hundred sixteen million, twenty-two thousand, one hundred fifty-three".