204055024680 has 192 divisors, whose sum is σ = 716221593360. Its totient is φ = 50086232064.

The previous prime is 204055024673. The next prime is 204055024697. The reversal of 204055024680 is 86420550402.

It is a happy number.

204055024680 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 550 + 24 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1625218596 + 202429806084 = 40314^2 + 449922^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590282 + ... + 1713798.

Almost surely, 2^204055024680 is an apocalyptic number.

204055024680 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 204055024680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358110796680).

204055024680 is an abundant number, since it is smaller than the sum of its proper divisors (512166568680).

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

204055024680 is a wasteful number, since it uses less digits than its factorization.

204055024680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123900 (or 123893 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 204055024680 in words is "two hundred four billion, fifty-five million, twenty-four thousand, six hundred eighty".