205550410120 has 96 divisors (see below), whose sum is σ = 508954440960. Its totient is φ = 74657475200.

The previous prime is 205550410099. The next prime is 205550410127. The reversal of 205550410120 is 21014055502.

It is a super-2 number, since 2×205550410120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205550410127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4152315 + ... + 4201525.

It is an arithmetic number, because the mean of its divisors is an integer number (5301608760).

Almost surely, 2^205550410120 is an apocalyptic number.

205550410120 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 205550410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254477220480).

205550410120 is an abundant number, since it is smaller than the sum of its proper divisors (303404030840).

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

205550410120 is a wasteful number, since it uses less digits than its factorization.

205550410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50107 (or 50092 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 205550410120 its reverse (21014055502), we get a palindrome (226564465622).

The spelling of 205550410120 in words is "two hundred five billion, five hundred fifty million, four hundred ten thousand, one hundred twenty".