256433587200 has 1584 divisors, whose sum is σ = 1135330000896. Its totient is φ = 54013132800.

The previous prime is 256433587171. The next prime is 256433587219. The reversal of 256433587200 is 2785334652.

256433587200 is a `hidden beast` number, since 2 + 5 + 6 + 43 + 3 + 587 + 20 + 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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1149926289 + ... + 1149926511.

Almost surely, 2^256433587200 is an apocalyptic number.

256433587200 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 256433587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567665000448).

256433587200 is an abundant number, since it is smaller than the sum of its proper divisors (878896413696).

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

256433587200 is a wasteful number, since it uses less digits than its factorization.

256433587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 256433587200 in words is "two hundred fifty-six billion, four hundred thirty-three million, five hundred eighty-seven thousand, two hundred".