256483816243200 has 6480 divisors, whose sum is σ = 1252336699711944. Its totient is φ = 51368479948800.

The previous prime is 256483816243181. The next prime is 256483816243201. The reversal of 256483816243200 is 2342618384652.

256483816243200 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 8 + 3 + 8 + 1 + 624 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 260112384 + 256483556130816 = 16128^2 + 16015104^2 .

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (256483816243201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6255702835180 + ... + 6255702835220.

Almost surely, 2^{256483816243200} is an apocalyptic number.

256483816243200 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 256483816243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626168349855972).

256483816243200 is an abundant number, since it is smaller than the sum of its proper divisors (995852883468744).

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

256483816243200 is an equidigital number, since it uses as much as digits as its factorization.

256483816243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 256483816243200 in words is "two hundred fifty-six trillion, four hundred eighty-three billion, eight hundred sixteen million, two hundred forty-three thousand, two hundred".