205363051125640 has 128 divisors (see below), whose sum is σ = 477569451985920. Its totient is φ = 79395867648000.

The previous prime is 205363051125611. The next prime is 205363051125689. The reversal of 205363051125640 is 46521150363502.

It is a super-3 number, since 3×205363051125640³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13272340944 + ... + 13272356416.

It is an arithmetic number, because the mean of its divisors is an integer number (3731011343640).

Almost surely, 2^{205363051125640} is an apocalyptic number.

205363051125640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205363051125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238784725992960).

205363051125640 is an abundant number, since it is smaller than the sum of its proper divisors (272206400860280).

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

205363051125640 is a wasteful number, since it uses less digits than its factorization.

205363051125640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28223 (or 28219 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 205363051125640 in words is "two hundred five trillion, three hundred sixty-three billion, fifty-one million, one hundred twenty-five thousand, six hundred forty".