205989726720 has 160 divisors (see below), whose sum is σ = 663264423360. Its totient is φ = 54535127040.

The previous prime is 205989726689. The next prime is 205989726743. The reversal of 205989726720 is 27627989502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971040 + ... + 1164000.

It is an arithmetic number, because the mean of its divisors is an integer number (4145402646).

Almost surely, 2^205989726720 is an apocalyptic number.

205989726720 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 205989726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331632211680).

205989726720 is an abundant number, since it is smaller than the sum of its proper divisors (457274696640).

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

205989726720 is a wasteful number, since it uses less digits than its factorization.

205989726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193126 (or 193110 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 205989726720 in words is "two hundred five billion, nine hundred eighty-nine million, seven hundred twenty-six thousand, seven hundred twenty".