256251682328400 has 1200 divisors, whose sum is σ = 1032244297761600. Its totient is φ = 60341013504000.

The previous prime is 256251682328387. The next prime is 256251682328423. The reversal of 256251682328400 is 4823286152652.

256251682328400 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 516 + 82 + 3 + 2 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×256251682328400² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3346201311 + ... + 3346277889.

It is an arithmetic number, because the mean of its divisors is an integer number (860203581468).

Almost surely, 2^{256251682328400} is an apocalyptic number.

256251682328400 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 256251682328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516122148880800).

256251682328400 is an abundant number, since it is smaller than the sum of its proper divisors (775992615433200).

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

256251682328400 is a wasteful number, since it uses less digits than its factorization.

256251682328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76890 (or 76870 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 256251682328400 in words is "two hundred fifty-six trillion, two hundred fifty-one billion, six hundred eighty-two million, three hundred twenty-eight thousand, four hundred".