205560756480 has 144 divisors (see below), whose sum is σ = 661522809024. Its totient is φ = 54397624320.

The previous prime is 205560756473. The next prime is 205560756491. The reversal of 205560756480 is 84657065502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298722 + ... + 707358.

It is an arithmetic number, because the mean of its divisors is an integer number (4593908396).

Almost surely, 2^205560756480 is an apocalyptic number.

205560756480 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 205560756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330761404512).

205560756480 is an abundant number, since it is smaller than the sum of its proper divisors (455962052544).

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

205560756480 is a wasteful number, since it uses less digits than its factorization.

205560756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408792 (or 408778 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 205560756480 in words is "two hundred five billion, five hundred sixty million, seven hundred fifty-six thousand, four hundred eighty".