204831108401920 has 864 divisors, whose sum is σ = 677432926933056. Its totient is φ = 58324628275200.

The previous prime is 204831108401917. The next prime is 204831108401989. The reversal of 204831108401920 is 29104801138402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 869871400 + ... + 870106840.

It is an arithmetic number, because the mean of its divisors is an integer number (784065887654).

Almost surely, 2^{204831108401920} is an apocalyptic number.

204831108401920 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 204831108401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338716463466528).

204831108401920 is an abundant number, since it is smaller than the sum of its proper divisors (472601818531136).

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

204831108401920 is a wasteful number, since it uses less digits than its factorization.

204831108401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235597 (or 235576 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 204831108401920 in words is "two hundred four trillion, eight hundred thirty-one billion, one hundred eight million, four hundred one thousand, nine hundred twenty".