256003200000 has 528 divisors, whose sum is σ = 947956201920. Its totient is φ = 68244480000.

The previous prime is 256003199981. The next prime is 256003200017. The reversal of 256003200000 is 2300652.

256003200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×256003200000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 86398519 + ... + 86401481.

Almost surely, 2^256003200000 is an apocalyptic number.

256003200000 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 256003200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473978100960).

256003200000 is an abundant number, since it is smaller than the sum of its proper divisors (691953001920).

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

256003200000 is an frugal number, since it uses more digits than its factorization.

256003200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 256003200000 its reverse (2300652), we get a palindrome (256005500652).

The spelling of 256003200000 in words is "two hundred fifty-six billion, three million, two hundred thousand".