205730672700 has 72 divisors (see below), whose sum is σ = 680282764672. Its totient is φ = 47024153280.

The previous prime is 205730672681. The next prime is 205730672723. The reversal of 205730672700 is 7276037502.

205730672700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48981394 + ... + 48985593.

Almost surely, 2^205730672700 is an apocalyptic number.

205730672700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205730672700 is an abundant number, since it is smaller than the sum of its proper divisors (474552091972).

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

205730672700 is a wasteful number, since it uses less digits than its factorization.

205730672700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97967011 (or 97967004 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The spelling of 205730672700 in words is "two hundred five billion, seven hundred thirty million, six hundred seventy-two thousand, seven hundred".