204216410272 has 96 divisors (see below), whose sum is σ = 486738346752. Its totient is φ = 82335289344.

The previous prime is 204216410227. The next prime is 204216410287. The reversal of 204216410272 is 272014612402.

It is a super-2 number, since 2×204216410272² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 9215718 + ... + 9237850.

It is an arithmetic number, because the mean of its divisors is an integer number (5070191112).

Almost surely, 2^204216410272 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 204216410272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243369173376).

204216410272 is an abundant number, since it is smaller than the sum of its proper divisors (282521936480).

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

204216410272 is a wasteful number, since it uses less digits than its factorization.

204216410272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24590 (or 24582 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 204216410272 in words is "two hundred four billion, two hundred sixteen million, four hundred ten thousand, two hundred seventy-two".