256267453320 has 80 divisors (see below), whose sum is σ = 861343395660. Its totient is φ = 68337986688.

The previous prime is 256267453313. The next prime is 256267453363. The reversal of 256267453320 is 23354762652.

256267453320 is a `hidden beast` number, since 2 + 5 + 6 + 26 + 74 + 533 + 20 = 666.

256267453320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 239232504996 + 17034948324 = 489114^2 + 130518^2 .

It is a super-2 number, since 2×256267453320² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39544207 + ... + 39550686.

Almost surely, 2^256267453320 is an apocalyptic number.

256267453320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256267453320 is an abundant number, since it is smaller than the sum of its proper divisors (605075942340).

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

256267453320 is a wasteful number, since it uses less digits than its factorization.

256267453320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79094916 (or 79094903 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 256267453320 in words is "two hundred fifty-six billion, two hundred sixty-seven million, four hundred fifty-three thousand, three hundred twenty".