205166004000 has 192 divisors, whose sum is σ = 679679320320. Its totient is φ = 54095923200.

The previous prime is 205166003993. The next prime is 205166004011. The reversal of 205166004000 is 400661502.

205166004000 is digitally balanced in base 3, 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971949 + ... + 1164051.

It is an arithmetic number, because the mean of its divisors is an integer number (3539996460).

Almost surely, 2^205166004000 is an apocalyptic number.

205166004000 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 205166004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339839660160).

205166004000 is an abundant number, since it is smaller than the sum of its proper divisors (474513316320).

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

205166004000 is a wasteful number, since it uses less digits than its factorization.

205166004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192220 (or 192202 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 205166004000 its reverse (400661502), we get a palindrome (205566665502).

The spelling of 205166004000 in words is "two hundred five billion, one hundred sixty-six million, four thousand".