256269312000 has 1792 divisors, whose sum is σ = 1099176099840. Its totient is φ = 58392576000.

The previous prime is 256269311957. The next prime is 256269312001. The reversal of 256269312000 is 213962652.

256269312000 is a `hidden beast` number, since 2 + 5 + 626 + 9 + 3 + 1 + 20 + 0 + 0 = 666.

256269312000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256269312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8266751985 + ... + 8266752015.

It is an arithmetic number, because the mean of its divisors is an integer number (613379520).

Almost surely, 2^256269312000 is an apocalyptic number.

256269312000 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 256269312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549588049920).

256269312000 is an abundant number, since it is smaller than the sum of its proper divisors (842906787840).

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

256269312000 is a wasteful number, since it uses less digits than its factorization.

256269312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 256269312000 in words is "two hundred fifty-six billion, two hundred sixty-nine million, three hundred twelve thousand".