204939624120 has 1024 divisors, whose sum is σ = 835876454400. Its totient is φ = 38940549120.

The previous prime is 204939624107. The next prime is 204939624137. The reversal of 204939624120 is 21426939402.

It is a super-3 number, since 3×204939624120³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 526836886 + ... + 526837274.

It is an arithmetic number, because the mean of its divisors is an integer number (816285600).

Almost surely, 2^204939624120 is an apocalyptic number.

204939624120 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 204939624120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417938227200).

204939624120 is an abundant number, since it is smaller than the sum of its proper divisors (630936830280).

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

204939624120 is a wasteful number, since it uses less digits than its factorization.

204939624120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 204939624120 in words is "two hundred four billion, nine hundred thirty-nine million, six hundred twenty-four thousand, one hundred twenty".