256501831818006 has 192 divisors, whose sum is σ = 624211314854400. Its totient is φ = 75646265472000.

The previous prime is 256501831817951. The next prime is 256501831818053. The reversal of 256501831818006 is 600818138105652.

256501831818006 is a `hidden beast` number, since 2 + 56 + 501 + 8 + 3 + 1 + 8 + 1 + 80 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1503874431 + ... + 1504044981.

It is an arithmetic number, because the mean of its divisors is an integer number (3251100598200).

Almost surely, 2^{256501831818006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256501831818006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312105657427200).

256501831818006 is an abundant number, since it is smaller than the sum of its proper divisors (367709483036394).

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

256501831818006 is a wasteful number, since it uses less digits than its factorization.

256501831818006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172595 (or 172592 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 256501831818006 in words is "two hundred fifty-six trillion, five hundred one billion, eight hundred thirty-one million, eight hundred eighteen thousand, six".