256205042004604 has 192 divisors, whose sum is σ = 566916418575360. Its totient is φ = 98414357760000.

The previous prime is 256205042004539. The next prime is 256205042004629. The reversal of 256205042004604 is 406400240502652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8214580642 + ... + 8214611830.

It is an arithmetic number, because the mean of its divisors is an integer number (2952689680080).

Almost surely, 2^{256205042004604} 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 256205042004604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283458209287680).

256205042004604 is an abundant number, since it is smaller than the sum of its proper divisors (310711376570756).

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

256205042004604 is a wasteful number, since it uses less digits than its factorization.

256205042004604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32420 (or 32418 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 256205042004604 in words is "two hundred fifty-six trillion, two hundred five billion, forty-two million, four thousand, six hundred four".