204599945761920 has 3072 divisors, whose sum is σ = 790955427225600. Its totient is φ = 50476411256832.

The previous prime is 204599945761801. The next prime is 204599945761933. The reversal of 204599945761920 is 29167549995402.

204599945761920 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 9 + 99 + 457 + 61 + 9 + 20 = 666.

It is a super-2 number, since 2×204599945761920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2109277791312 + ... + 2109277791408.

It is an arithmetic number, because the mean of its divisors is an integer number (257472469800).

Almost surely, 2^{204599945761920} is an apocalyptic number.

204599945761920 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 204599945761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395477713612800).

204599945761920 is an abundant number, since it is smaller than the sum of its proper divisors (586355481463680).

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

204599945761920 is an equidigital number, since it uses as much as digits as its factorization.

204599945761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 204599945761920 in words is "two hundred four trillion, five hundred ninety-nine billion, nine hundred forty-five million, seven hundred sixty-one thousand, nine hundred twenty".