204019077218880 has 1344 divisors, whose sum is σ = 831079615675392. Its totient is φ = 41927633879040.

The previous prime is 204019077218833. The next prime is 204019077218909. The reversal of 204019077218880 is 88812770910402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 204019077218880.

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, 37482833439 + ... + 37482838881.

Almost surely, 2^{204019077218880} is an apocalyptic number.

204019077218880 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 204019077218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415539807837696).

204019077218880 is an abundant number, since it is smaller than the sum of its proper divisors (627060538456512).

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

204019077218880 is a wasteful number, since it uses less digits than its factorization.

204019077218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 57.

The spelling of 204019077218880 in words is "two hundred four trillion, nineteen billion, seventy-seven million, two hundred eighteen thousand, eight hundred eighty".