204551159120 has 320 divisors, whose sum is σ = 626034216960. Its totient is φ = 60217344000.

The previous prime is 204551159119. The next prime is 204551159161. The reversal of 204551159120 is 21951155402.

204551159120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41312645 + ... + 41317595.

It is an arithmetic number, because the mean of its divisors is an integer number (1956356928).

Almost surely, 2^204551159120 is an apocalyptic number.

204551159120 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 204551159120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313017108480).

204551159120 is an abundant number, since it is smaller than the sum of its proper divisors (421483057840).

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

204551159120 is a wasteful number, since it uses less digits than its factorization.

204551159120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

The spelling of 204551159120 in words is "two hundred four billion, five hundred fifty-one million, one hundred fifty-nine thousand, one hundred twenty".