256838735360 has 80 divisors (see below), whose sum is σ = 616029321600. Its totient is φ = 102699073536.

The previous prime is 256838735341. The next prime is 256838735383. The reversal of 256838735360 is 63537838652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×256838735360² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256838735296 and 256838735305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7891601 + ... + 7924079.

It is an arithmetic number, because the mean of its divisors is an integer number (7700366520).

Almost surely, 2^256838735360 is an apocalyptic number.

256838735360 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 256838735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308014660800).

256838735360 is an abundant number, since it is smaller than the sum of its proper divisors (359190586240).

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

256838735360 is an equidigital number, since it uses as much as digits as its factorization.

256838735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35591 (or 35575 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 256838735360 in words is "two hundred fifty-six billion, eight hundred thirty-eight million, seven hundred thirty-five thousand, three hundred sixty".