205372655280 has 1120 divisors, whose sum is σ = 829943755200. Its totient is φ = 46814257152.

The previous prime is 205372655251. The next prime is 205372655287. The reversal of 205372655280 is 82556273502.

205372655280 is a `hidden beast` number, since 2 + 0 + 53 + 72 + 6 + 5 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (205372655287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 763466986 + ... + 763467254.

It is an arithmetic number, because the mean of its divisors is an integer number (741021210).

Almost surely, 2^205372655280 is an apocalyptic number.

205372655280 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 205372655280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414971877600).

205372655280 is an abundant number, since it is smaller than the sum of its proper divisors (624571099920).

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

205372655280 is a wasteful number, since it uses less digits than its factorization.

205372655280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 205372655280 in words is "two hundred five billion, three hundred seventy-two million, six hundred fifty-five thousand, two hundred eighty".