256069356480 has 896 divisors, whose sum is σ = 1054769909760. Its totient is φ = 57993781248.

The previous prime is 256069356479. The next prime is 256069356511. The reversal of 256069356480 is 84653960652.

256069356480 is a `hidden beast` number, since 2 + 56 + 0 + 69 + 3 + 56 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 818112804 + ... + 818113116.

It is an arithmetic number, because the mean of its divisors is an integer number (1177198560).

Almost surely, 2^256069356480 is an apocalyptic number.

256069356480 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 256069356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527384954880).

256069356480 is an abundant number, since it is smaller than the sum of its proper divisors (798700553280).

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

256069356480 is an equidigital number, since it uses as much as digits as its factorization.

256069356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 256069356480 in words is "two hundred fifty-six billion, sixty-nine million, three hundred fifty-six thousand, four hundred eighty".