256243129011360 has 384 divisors, whose sum is σ = 926605772951040. Its totient is φ = 66086584860672.

The previous prime is 256243129011349. The next prime is 256243129011437. The reversal of 256243129011360 is 63110921342652.

256243129011360 is a `hidden beast` number, since 2 + 5 + 6 + 243 + 1 + 290 + 113 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21893512 + ... + 31493048.

It is an arithmetic number, because the mean of its divisors is an integer number (2413035867060).

Almost surely, 2^{256243129011360} is an apocalyptic number.

256243129011360 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 256243129011360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463302886475520).

256243129011360 is an abundant number, since it is smaller than the sum of its proper divisors (670362643939680).

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

256243129011360 is a wasteful number, since it uses less digits than its factorization.

256243129011360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599765 (or 9599751 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 256243129011360 in words is "two hundred fifty-six trillion, two hundred forty-three billion, one hundred twenty-nine million, eleven thousand, three hundred sixty".