204856749851040 has 1152 divisors, whose sum is σ = 851340168806400. Its totient is φ = 45860153149440.

The previous prime is 204856749851023. The next prime is 204856749851063. The reversal of 204856749851040 is 40158947658402.

It is a happy number.

204856749851040 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 5 + 6 + 74 + 9 + 8 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3384521257 + ... + 3384581783.

It is an arithmetic number, because the mean of its divisors is an integer number (739010563200).

Almost surely, 2^{204856749851040} is an apocalyptic number.

204856749851040 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 204856749851040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425670084403200).

204856749851040 is an abundant number, since it is smaller than the sum of its proper divisors (646483418955360).

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

204856749851040 is a wasteful number, since it uses less digits than its factorization.

204856749851040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60895 (or 60874 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 204856749851040 in words is "two hundred four trillion, eight hundred fifty-six billion, seven hundred forty-nine million, eight hundred fifty-one thousand, forty".