205325255012000 has 192 divisors, whose sum is σ = 516725710300800. Its totient is φ = 80157204172800.

The previous prime is 205325255011963. The next prime is 205325255012057. The reversal of 205325255012000 is 210552523502.

205325255012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205325255012000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 29674424 + ... + 35933576.

It is an arithmetic number, because the mean of its divisors is an integer number (2691279741150).

Almost surely, 2^{205325255012000} is an apocalyptic number.

205325255012000 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 205325255012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258362855150400).

205325255012000 is an abundant number, since it is smaller than the sum of its proper divisors (311400455288800).

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

205325255012000 is a wasteful number, since it uses less digits than its factorization.

205325255012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259376 (or 6259358 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 205325255012000 in words is "two hundred five trillion, three hundred twenty-five billion, two hundred fifty-five million, twelve thousand".