256767216080 has 80 divisors (see below), whose sum is σ = 601515500544. Its totient is φ = 101929205760.

The previous prime is 256767216077. The next prime is 256767216089. The reversal of 256767216080 is 80612767652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256767216089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8548769 + ... + 8578751.

Almost surely, 2^256767216080 is an apocalyptic number.

256767216080 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 256767216080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300757750272).

256767216080 is an abundant number, since it is smaller than the sum of its proper divisors (344748284464).

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

256767216080 is a wasteful number, since it uses less digits than its factorization.

256767216080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30804 (or 30798 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 256767216080 in words is "two hundred fifty-six billion, seven hundred sixty-seven million, two hundred sixteen thousand, eighty".