205508730000 has 400 divisors, whose sum is σ = 778703235200. Its totient is φ = 45702144000.

The previous prime is 205508729977. The next prime is 205508730041. The reversal of 205508730000 is 37805502.

It is a happy number.

205508730000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 205508730000.

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 79 ways as a sum of consecutive naturals, for example, 7756776 + ... + 7783224.

It is an arithmetic number, because the mean of its divisors is an integer number (1946758088).

Almost surely, 2^205508730000 is an apocalyptic number.

205508730000 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 205508730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389351617600).

205508730000 is an abundant number, since it is smaller than the sum of its proper divisors (573194505200).

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

205508730000 is a wasteful number, since it uses less digits than its factorization.

205508730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26524 (or 26503 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 205508730000 in words is "two hundred five billion, five hundred eight million, seven hundred thirty thousand".