268594055657856 has 320 divisors, whose sum is σ = 818693001205200. Its totient is φ = 87366652047360.

The previous prime is 268594055657803. The next prime is 268594055657971. The reversal of 268594055657856 is 658756550495862.

268594055657856 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 9 + 4 + 0 + 556 + 5 + 7 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 472735350 + ... + 473303178.

Almost surely, 2^{268594055657856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268594055657856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409346500602600).

268594055657856 is an abundant number, since it is smaller than the sum of its proper divisors (550098945547344).

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

268594055657856 is a wasteful number, since it uses less digits than its factorization.

268594055657856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568959 (or 568938 counting only the distinct ones).

The product of its (nonzero) digits is 21772800000, while the sum is 81.

The spelling of 268594055657856 in words is "two hundred sixty-eight trillion, five hundred ninety-four billion, fifty-five million, six hundred fifty-seven thousand, eight hundred fifty-six".