256317457147200 has 504 divisors, whose sum is σ = 948916214037792. Its totient is φ = 68050191329280.

The previous prime is 256317457147181. The next prime is 256317457147201. The reversal of 256317457147200 is 2741754713652.

256317457147200 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 1 + 7 + 4 + 571 + 47 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256317457147201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86805502 + ... + 89709698.

It is an arithmetic number, because the mean of its divisors is an integer number (1882770265948).

Almost surely, 2^{256317457147200} is an apocalyptic number.

256317457147200 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 256317457147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474458107018896).

256317457147200 is an abundant number, since it is smaller than the sum of its proper divisors (692598756890592).

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

256317457147200 is a wasteful number, since it uses less digits than its factorization.

256317457147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904461 (or 2904434 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 256317457147200 in words is "two hundred fifty-six trillion, three hundred seventeen billion, four hundred fifty-seven million, one hundred forty-seven thousand, two hundred".