268150087296 has 768 divisors, whose sum is σ = 990634444800. Its totient is φ = 67722117120.

The previous prime is 268150087273. The next prime is 268150087297. The reversal of 268150087296 is 692780051862.

268150087296 is a `hidden beast` number, since 2 + 68 + 1 + 500 + 8 + 72 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (268150087297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354226950 + ... + 354227706.

It is an arithmetic number, because the mean of its divisors is an integer number (1289888600).

Almost surely, 2^268150087296 is an apocalyptic number.

268150087296 is a gapful number since it is divisible by the number (26) 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 268150087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495317222400).

268150087296 is an abundant number, since it is smaller than the sum of its proper divisors (722484357504).

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

268150087296 is a wasteful number, since it uses less digits than its factorization.

268150087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 268150087296 in words is "two hundred sixty-eight billion, one hundred fifty million, eighty-seven thousand, two hundred ninety-six".