204906868992 has 864 divisors, whose sum is σ = 749968128000. Its totient is φ = 54524067840.

The previous prime is 204906868979. The next prime is 204906868993. The reversal of 204906868992 is 299868609402.

204906868992 is a `hidden beast` number, since 2 + 0 + 490 + 68 + 6 + 89 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (204906868993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410634759 + ... + 410635257.

Almost surely, 2^204906868992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204906868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374984064000).

204906868992 is an abundant number, since it is smaller than the sum of its proper divisors (545061259008).

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

204906868992 is an equidigital number, since it uses as much as digits as its factorization.

204906868992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 204906868992 in words is "two hundred four billion, nine hundred six million, eight hundred sixty-eight thousand, nine hundred ninety-two".