256506442137632 has 288 divisors, whose sum is σ = 546098823281088. Its totient is φ = 118515863144448.

The previous prime is 256506442137467. The next prime is 256506442137653. The reversal of 256506442137632 is 236731244605652.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57090236378 + ... + 57090240870.

It is an arithmetic number, because the mean of its divisors is an integer number (1896176469726).

Almost surely, 2^{256506442137632} 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 256506442137632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273049411640544).

256506442137632 is an abundant number, since it is smaller than the sum of its proper divisors (289592381143456).

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

256506442137632 is a wasteful number, since it uses less digits than its factorization.

256506442137632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 56.

The spelling of 256506442137632 in words is "two hundred fifty-six trillion, five hundred six billion, four hundred forty-two million, one hundred thirty-seven thousand, six hundred thirty-two".