205421119200 has 1512 divisors, whose sum is σ = 858530706768. Its totient is φ = 47900160000.

The previous prime is 205421119187. The next prime is 205421119223. The reversal of 205421119200 is 2911124502.

205421119200 is a `hidden beast` number, since 2 + 0 + 542 + 1 + 119 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2893255165 + ... + 2893255235.

It is an arithmetic number, because the mean of its divisors is an integer number (567811314).

Almost surely, 2^205421119200 is an apocalyptic number.

205421119200 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 205421119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429265353384).

205421119200 is an abundant number, since it is smaller than the sum of its proper divisors (653109587568).

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

205421119200 is a wasteful number, since it uses less digits than its factorization.

205421119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 205421119200 in words is "two hundred five billion, four hundred twenty-one million, one hundred nineteen thousand, two hundred".