204516091054080 has 1536 divisors, whose sum is σ = 841666775040000. Its totient is φ = 46677347794944.

The previous prime is 204516091053977. The next prime is 204516091054081. The reversal of 204516091054080 is 80450190615402.

204516091054080 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 16 + 0 + 9 + 10 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (204516091054081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3209624461 + ... + 3209688179.

It is an arithmetic number, because the mean of its divisors is an integer number (547960140000).

Almost surely, 2^{204516091054080} is an apocalyptic number.

204516091054080 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 204516091054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420833387520000).

204516091054080 is an abundant number, since it is smaller than the sum of its proper divisors (637150683985920).

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

204516091054080 is a wasteful number, since it uses less digits than its factorization.

204516091054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63834 (or 63808 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 204516091054080 in words is "two hundred four trillion, five hundred sixteen billion, ninety-one million, fifty-four thousand, eighty".