205555350000 has 1440 divisors, whose sum is σ = 915898378752. Its totient is φ = 38361600000.

The previous prime is 205555349939. The next prime is 205555350017. The reversal of 205555350000 is 53555502.

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 205555350000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5555549982 + ... + 5555550018.

Almost surely, 2^205555350000 is an apocalyptic number.

205555350000 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 205555350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457949189376).

205555350000 is an abundant number, since it is smaller than the sum of its proper divisors (710343028752).

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

205555350000 is a wasteful number, since it uses less digits than its factorization.

205555350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 30.

It can be divided in two parts, 205555 and 350000, that added together give a palindrome (555555).

The spelling of 205555350000 in words is "two hundred five billion, five hundred fifty-five million, three hundred fifty thousand".