256111876020 has 1152 divisors, whose sum is σ = 1037436567552. Its totient is φ = 46332518400.

The previous prime is 256111876003. The next prime is 256111876067. The reversal of 256111876020 is 20678111652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 256111876020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 560419632 + ... + 560420088.

It is an arithmetic number, because the mean of its divisors is an integer number (900552576).

Almost surely, 2^256111876020 is an apocalyptic number.

256111876020 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 256111876020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518718283776).

256111876020 is an abundant number, since it is smaller than the sum of its proper divisors (781324691532).

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

256111876020 is a wasteful number, since it uses less digits than its factorization.

256111876020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

Adding to 256111876020 its reverse (20678111652), we get a palindrome (276789987672).

The spelling of 256111876020 in words is "two hundred fifty-six billion, one hundred eleven million, eight hundred seventy-six thousand, twenty".