204715969920 has 1536 divisors, whose sum is σ = 928305100800. Its totient is φ = 41726361600.

The previous prime is 204715969919. The next prime is 204715969979. The reversal of 204715969920 is 29969517402.

204715969920 is a `hidden beast` number, since 2 + 0 + 47 + 1 + 596 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1039167262 + ... + 1039167458.

It is an arithmetic number, because the mean of its divisors is an integer number (604365300).

Almost surely, 2^204715969920 is an apocalyptic number.

204715969920 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 204715969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464152550400).

204715969920 is an abundant number, since it is smaller than the sum of its proper divisors (723589130880).

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

204715969920 is a wasteful number, since it uses less digits than its factorization.

204715969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 204715969920 in words is "two hundred four billion, seven hundred fifteen million, nine hundred sixty-nine thousand, nine hundred twenty".