268104059136 has 180 divisors, whose sum is σ = 846464658732. Its totient is φ = 84110966784.

The previous prime is 268104059033. The next prime is 268104059137. The reversal of 268104059136 is 631950401862.

268104059136 is a `hidden beast` number, since 2 + 6 + 8 + 10 + 40 + 591 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250400160000 + 17703899136 = 500400^2 + 133056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 268104059091 and 268104059100.

It is not an unprimeable number, because it can be changed into a prime (268104059137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27765 + ... + 732788.

Almost surely, 2^268104059136 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 268104059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423232329366).

268104059136 is an abundant number, since it is smaller than the sum of its proper divisors (578360599596).

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

268104059136 is an equidigital number, since it uses as much as digits as its factorization.

268104059136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760598 (or 760575 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 268104059136 in words is "two hundred sixty-eight billion, one hundred four million, fifty-nine thousand, one hundred thirty-six".