256607270686368 has 540 divisors, whose sum is σ = 909203283930942. Its totient is φ = 70788183137280.

The previous prime is 256607270686271. The next prime is 256607270686409. The reversal of 256607270686368 is 863686072706652.

256607270686368 is a `hidden beast` number, since 2 + 5 + 6 + 607 + 2 + 7 + 0 + 6 + 8 + 6 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 188615834127504 + 67991436558864 = 13733748^2 + 8245692^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 256607270686296 and 256607270686305.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 105612538 + ... + 108014918.

Almost surely, 2^{256607270686368} is an apocalyptic number.

256607270686368 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 256607270686368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454601641965471).

256607270686368 is an abundant number, since it is smaller than the sum of its proper divisors (652596013244574).

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

256607270686368 is a wasteful number, since it uses less digits than its factorization.

256607270686368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402475 (or 2402422 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 256607270686368 in words is "two hundred fifty-six trillion, six hundred seven billion, two hundred seventy million, six hundred eighty-six thousand, three hundred sixty-eight".