256210217540 has 48 divisors (see below), whose sum is σ = 547693090560. Its totient is φ = 100649061120.

The previous prime is 256210217509. The next prime is 256210217551. The reversal of 256210217540 is 45712012652.

256210217540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 256210217540.

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 15 ways as a sum of consecutive naturals, for example, 1113845 + ... + 1324035.

It is an arithmetic number, because the mean of its divisors is an integer number (11410272720).

Almost surely, 2^256210217540 is an apocalyptic number.

256210217540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256210217540 is an abundant number, since it is smaller than the sum of its proper divisors (291482873020).

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

256210217540 is a wasteful number, since it uses less digits than its factorization.

256210217540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211292 (or 211290 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 256210217540 in words is "two hundred fifty-six billion, two hundred ten million, two hundred seventeen thousand, five hundred forty".