205150568800 has 144 divisors (see below), whose sum is σ = 507576888000. Its totient is φ = 80956592640.

The previous prime is 205150568771. The next prime is 205150568809. The reversal of 205150568800 is 8865051502.

205150568800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205150568809) by changing a digit.

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, 58629451 + ... + 58632949.

It is an arithmetic number, because the mean of its divisors is an integer number (3524839500).

Almost surely, 2^205150568800 is an apocalyptic number.

205150568800 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 205150568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253788444000).

205150568800 is an abundant number, since it is smaller than the sum of its proper divisors (302426319200).

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

205150568800 is a wasteful number, since it uses less digits than its factorization.

205150568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The spelling of 205150568800 in words is "two hundred five billion, one hundred fifty million, five hundred sixty-eight thousand, eight hundred".