205570418720 has 48 divisors (see below), whose sum is σ = 485688389760. Its totient is φ = 82223380224.

The previous prime is 205570418659. The next prime is 205570418749. The reversal of 205570418720 is 27814075502.

It is a super-2 number, since 2×205570418720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4251641 + ... + 4299719.

It is an arithmetic number, because the mean of its divisors is an integer number (10118508120).

Almost surely, 2^205570418720 is an apocalyptic number.

205570418720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205570418720 is an abundant number, since it is smaller than the sum of its proper divisors (280117971040).

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

205570418720 is a wasteful number, since it uses less digits than its factorization.

205570418720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74817 (or 74809 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 205570418720 in words is "two hundred five billion, five hundred seventy million, four hundred eighteen thousand, seven hundred twenty".