256503582720 has 1872 divisors, whose sum is σ = 1174672751616. Its totient is φ = 50606899200.

The previous prime is 256503582719. The next prime is 256503582743. The reversal of 256503582720 is 27285305652.

256503582720 is a `hidden beast` number, since 2 + 5 + 65 + 0 + 3 + 582 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4839690214 + ... + 4839690266.

It is an arithmetic number, because the mean of its divisors is an integer number (627496128).

Almost surely, 2^256503582720 is an apocalyptic number.

256503582720 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 256503582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587336375808).

256503582720 is an abundant number, since it is smaller than the sum of its proper divisors (918169168896).

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

256503582720 is a wasteful number, since it uses less digits than its factorization.

256503582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 256503582720 in words is "two hundred fifty-six billion, five hundred three million, five hundred eighty-two thousand, seven hundred twenty".