204126289920 has 704 divisors, whose sum is σ = 837518423040. Its totient is φ = 46204452864.

The previous prime is 204126289859. The next prime is 204126289933. The reversal of 204126289920 is 29982621402.

204126289920 is a `hidden beast` number, since 2 + 0 + 4 + 12 + 628 + 9 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981808589 + ... + 1981808691.

Almost surely, 2^204126289920 is an apocalyptic number.

204126289920 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 204126289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418759211520).

204126289920 is an abundant number, since it is smaller than the sum of its proper divisors (633392133120).

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

204126289920 is an frugal number, since it uses more digits than its factorization.

204126289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 204126289920 in words is "two hundred four billion, one hundred twenty-six million, two hundred eighty-nine thousand, nine hundred twenty".