256530265200 has 360 divisors, whose sum is σ = 1028291234256. Its totient is φ = 58530816000.

The previous prime is 256530265171. The next prime is 256530265237. The reversal of 256530265200 is 2562035652.

256530265200 is a `hidden beast` number, since 2 + 56 + 530 + 26 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 482670 + ... + 863730.

Almost surely, 2^256530265200 is an apocalyptic number.

256530265200 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 256530265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514145617128).

256530265200 is an abundant number, since it is smaller than the sum of its proper divisors (771760969056).

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

256530265200 is a wasteful number, since it uses less digits than its factorization.

256530265200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381113 (or 381099 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 256530265200 in words is "two hundred fifty-six billion, five hundred thirty million, two hundred sixty-five thousand, two hundred".