256036785480 has 288 divisors, whose sum is σ = 968658912000. Its totient is φ = 58481402112.

The previous prime is 256036785469. The next prime is 256036785481. The reversal of 256036785480 is 84587630652.

256036785480 is a `hidden beast` number, since 2 + 5 + 60 + 36 + 7 + 8 + 548 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (256036785481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29966089 + ... + 29974631.

It is an arithmetic number, because the mean of its divisors is an integer number (3363399000).

Almost surely, 2^256036785480 is an apocalyptic number.

256036785480 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 256036785480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484329456000).

256036785480 is an abundant number, since it is smaller than the sum of its proper divisors (712622126520).

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

256036785480 is a wasteful number, since it uses less digits than its factorization.

256036785480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10273 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 256036785480 in words is "two hundred fifty-six billion, thirty-six million, seven hundred eighty-five thousand, four hundred eighty".