205139413935700 has 144 divisors (see below), whose sum is σ = 450573724560960. Its totient is φ = 81062362368000.

The previous prime is 205139413935689. The next prime is 205139413935733. The reversal of 205139413935700 is 7539314931502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10194265839 + ... + 10194285961.

It is an arithmetic number, because the mean of its divisors is an integer number (3128984198340).

Almost surely, 2^{205139413935700} is an apocalyptic number.

205139413935700 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 205139413935700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225286862280480).

205139413935700 is an abundant number, since it is smaller than the sum of its proper divisors (245434310625260).

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

205139413935700 is a wasteful number, since it uses less digits than its factorization.

205139413935700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23738 (or 23731 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 205139413935700 in words is "two hundred five trillion, one hundred thirty-nine billion, four hundred thirteen million, nine hundred thirty-five thousand, seven hundred".