256272768000 has 704 divisors, whose sum is σ = 980221507200. Its totient is φ = 65957068800.

The previous prime is 256272767977. The next prime is 256272768001. The reversal of 256272768000 is 867272652.

256272768000 is a `hidden beast` number, since 2 + 562 + 7 + 2 + 7 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256272768001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100222722 + ... + 100225278.

Almost surely, 2^256272768000 is an apocalyptic number.

256272768000 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 256272768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490110753600).

256272768000 is an abundant number, since it is smaller than the sum of its proper divisors (723948739200).

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

256272768000 is a wasteful number, since it uses less digits than its factorization.

256272768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 256272768000 in words is "two hundred fifty-six billion, two hundred seventy-two million, seven hundred sixty-eight thousand".