205404540000 has 480 divisors, whose sum is σ = 778298564736. Its totient is φ = 46863360000.

The previous prime is 205404539971. The next prime is 205404540013. The reversal of 205404540000 is 45404502.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×205404540000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11210847 + ... + 11229153.

Almost surely, 2^205404540000 is an apocalyptic number.

205404540000 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 205404540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389149282368).

205404540000 is an abundant number, since it is smaller than the sum of its proper divisors (572894024736).

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

205404540000 is a wasteful number, since it uses less digits than its factorization.

205404540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18368 (or 18345 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 205404540000 its reverse (45404502), we get a palindrome (205449944502).

The spelling of 205404540000 in words is "two hundred five billion, four hundred four million, five hundred forty thousand".