256786404473088 has 432 divisors, whose sum is σ = 914982390766080. Its totient is φ = 67582615486464.

The previous prime is 256786404473087. The next prime is 256786404473099. The reversal of 256786404473088 is 880374404687652.

256786404473088 is a `hidden beast` number, since 2 + 5 + 6 + 78 + 6 + 4 + 0 + 4 + 473 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (256786404473087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2922708 + ... + 22849836.

It is an arithmetic number, because the mean of its divisors is an integer number (2118014793440).

Almost surely, 2^{256786404473088} is an apocalyptic number.

256786404473088 is a gapful number since it is divisible by the number (28) 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 256786404473088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457491195383040).

256786404473088 is an abundant number, since it is smaller than the sum of its proper divisors (658195986292992).

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

256786404473088 is a wasteful number, since it uses less digits than its factorization.

256786404473088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19927222 (or 19927205 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 256786404473088 in words is "two hundred fifty-six trillion, seven hundred eighty-six billion, four hundred four million, four hundred seventy-three thousand, eighty-eight".