256083984000 has 512 divisors, whose sum is σ = 1015822080000. Its totient is φ = 63034675200.

The previous prime is 256083983993. The next prime is 256083984001. The reversal of 256083984000 is 489380652.

256083984000 is a `hidden beast` number, since 2 + 5 + 608 + 39 + 8 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×256083984000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256083984001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5593201 + ... + 5638799.

It is an arithmetic number, because the mean of its divisors is an integer number (1984027500).

Almost surely, 2^256083984000 is an apocalyptic number.

256083984000 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 256083984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507911040000).

256083984000 is an abundant number, since it is smaller than the sum of its proper divisors (759738096000).

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

256083984000 is a wasteful number, since it uses less digits than its factorization.

256083984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45650 (or 45622 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 256083984000 in words is "two hundred fifty-six billion, eighty-three million, nine hundred eighty-four thousand".