205197071735040 has 288 divisors, whose sum is σ = 817057432267776. Its totient is φ = 42638352506880.

The previous prime is 205197071734937. The next prime is 205197071735099. The reversal of 205197071735040 is 40537170791502.

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, 346696122 + ... + 347287481.

It is an arithmetic number, because the mean of its divisors is an integer number (2837004973152).

Almost surely, 2^{205197071735040} is an apocalyptic number.

205197071735040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205197071735040 is an abundant number, since it is smaller than the sum of its proper divisors (611860360532736).

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

205197071735040 is a wasteful number, since it uses less digits than its factorization.

205197071735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693983645 (or 693983631 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 205197071735040 in words is "two hundred five trillion, one hundred ninety-seven billion, seventy-one million, seven hundred thirty-five thousand, forty".