268116518574000 has 960 divisors, whose sum is σ = 1022887861272576. Its totient is φ = 65250662400000.

The previous prime is 268116518573951. The next prime is 268116518574067. The reversal of 268116518574000 is 475815611862.

268116518574000 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 1 + 65 + 1 + 8 + 574 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 911066880 + ... + 911361120.

Almost surely, 2^{268116518574000} is an apocalyptic number.

268116518574000 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 268116518574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511443930636288).

268116518574000 is an abundant number, since it is smaller than the sum of its proper divisors (754771342698576).

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

268116518574000 is a wasteful number, since it uses less digits than its factorization.

268116518574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294395 (or 294376 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 268116518574000 in words is "two hundred sixty-eight trillion, one hundred sixteen billion, five hundred eighteen million, five hundred seventy-four thousand".