256723648534080 has 2240 divisors, whose sum is σ = 1191656886013440. Its totient is φ = 50911552733184.

The previous prime is 256723648534069. The next prime is 256723648534121. The reversal of 256723648534080 is 80435846327652.

256723648534080 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 2 + 36 + 485 + 3 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×256723648534080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 256723648533999 and 256723648534017.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 33241437099 + ... + 33241444821.

It is an arithmetic number, because the mean of its divisors is an integer number (531989681256).

Almost surely, 2^{256723648534080} is an apocalyptic number.

256723648534080 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 256723648534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595828443006720).

256723648534080 is an abundant number, since it is smaller than the sum of its proper divisors (934933237479360).

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

256723648534080 is a wasteful number, since it uses less digits than its factorization.

256723648534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 256723648534080 in words is "two hundred fifty-six trillion, seven hundred twenty-three billion, six hundred forty-eight million, five hundred thirty-four thousand, eighty".