204321660724272 has 320 divisors, whose sum is σ = 651845515216896. Its totient is φ = 53703998300160.

The previous prime is 204321660724267. The next prime is 204321660724277. The reversal of 204321660724272 is 272427066123402.

It is an interprime number because it is at equal distance from previous prime (204321660724267) and next prime (204321660724277).

It is a super-2 number, since 2×204321660724272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (204321660724277) by changing a digit.

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, 8505239653 + ... + 8505263675.

Almost surely, 2^{204321660724272} 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 204321660724272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325922757608448).

204321660724272 is an abundant number, since it is smaller than the sum of its proper divisors (447523854492624).

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

204321660724272 is a wasteful number, since it uses less digits than its factorization.

204321660724272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30588 (or 30582 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 204321660724272 in words is "two hundred four trillion, three hundred twenty-one billion, six hundred sixty million, seven hundred twenty-four thousand, two hundred seventy-two".