256080384000 has 1248 divisors, whose sum is σ = 1119471964416. Its totient is φ = 54971596800.

The previous prime is 256080383987. The next prime is 256080384011. The reversal of 256080384000 is 483080652.

256080384000 is a `hidden beast` number, since 2 + 5 + 608 + 0 + 3 + 8 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548351767 + ... + 548352233.

It is an arithmetic number, because the mean of its divisors is an integer number (897012792).

Almost surely, 2^256080384000 is an apocalyptic number.

256080384000 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 256080384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559735982208).

256080384000 is an abundant number, since it is smaller than the sum of its proper divisors (863391580416).

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

256080384000 is a wasteful number, since it uses less digits than its factorization.

256080384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 256080384000 in words is "two hundred fifty-six billion, eighty million, three hundred eighty-four thousand".