256023147200 has 168 divisors, whose sum is σ = 659216319360. Its totient is φ = 97746739200.

The previous prime is 256023147199. The next prime is 256023147229. The reversal of 256023147200 is 2741320652.

256023147200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3585446 + ... + 3656154.

Almost surely, 2^256023147200 is an apocalyptic number.

256023147200 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 256023147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329608159680).

256023147200 is an abundant number, since it is smaller than the sum of its proper divisors (403193172160).

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

256023147200 is a wasteful number, since it uses less digits than its factorization.

256023147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70835 (or 70820 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 256023147200 its reverse (2741320652), we get a palindrome (258764467852).

The spelling of 256023147200 in words is "two hundred fifty-six billion, twenty-three million, one hundred forty-seven thousand, two hundred".