204872975623680 has 5120 divisors, whose sum is σ = 916549337088000. Its totient is φ = 37838389248000.

The previous prime is 204872975623583. The next prime is 204872975623733. The reversal of 204872975623680 is 86326579278402.

It is a super-2 number, since 2×204872975623680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1029512440221 + ... + 1029512440419.

It is an arithmetic number, because the mean of its divisors is an integer number (179013542400).

Almost surely, 2^{204872975623680} is an apocalyptic number.

204872975623680 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 204872975623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458274668544000).

204872975623680 is an abundant number, since it is smaller than the sum of its proper divisors (711676361464320).

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

204872975623680 is a wasteful number, since it uses less digits than its factorization.

204872975623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 69.

The spelling of 204872975623680 in words is "two hundred four trillion, eight hundred seventy-two billion, nine hundred seventy-five million, six hundred twenty-three thousand, six hundred eighty".