204580628024400 has 480 divisors, whose sum is σ = 744777844560000. Its totient is φ = 53320146186240.

The previous prime is 204580628024293. The next prime is 204580628024413. The reversal of 204580628024400 is 4420826085402.

204580628024400 is a `hidden beast` number, since 2 + 0 + 4 + 580 + 6 + 2 + 8 + 0 + 24 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 109307676 + ... + 111163524.

It is an arithmetic number, because the mean of its divisors is an integer number (1551620509500).

Almost surely, 2^{204580628024400} is an apocalyptic number.

204580628024400 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 204580628024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372388922280000).

204580628024400 is an abundant number, since it is smaller than the sum of its proper divisors (540197216535600).

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

204580628024400 is a wasteful number, since it uses less digits than its factorization.

204580628024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856108 (or 1856091 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 204580628024400 in words is "two hundred four trillion, five hundred eighty billion, six hundred twenty-eight million, twenty-four thousand, four hundred".