256893436800 has 3456 divisors, whose sum is σ = 1338345590400. Its totient is φ = 45984153600.

The previous prime is 256893436799. The next prime is 256893436801. The reversal of 256893436800 is 8634398652.

256893436800 is a `hidden beast` number, since 2 + 56 + 89 + 3 + 436 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256893436799) and next prime (256893436801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256893436801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3834230367 + ... + 3834230433.

It is an arithmetic number, because the mean of its divisors is an integer number (387252775).

Almost surely, 2^256893436800 is an apocalyptic number.

256893436800 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 256893436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669172795200).

256893436800 is an abundant number, since it is smaller than the sum of its proper divisors (1081452153600).

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

256893436800 is a wasteful number, since it uses less digits than its factorization.

256893436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 256893436800 in words is "two hundred fifty-six billion, eight hundred ninety-three million, four hundred thirty-six thousand, eight hundred".