268658876160 has 216 divisors, whose sum is σ = 959517896064. Its totient is φ = 69331230720.

The previous prime is 268658876111. The next prime is 268658876183. The reversal of 268658876160 is 61678856862.

268658876160 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 5 + 8 + 8 + 7 + 616 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19027 + ... + 733266.

Almost surely, 2^268658876160 is an apocalyptic number.

268658876160 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 268658876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479758948032).

268658876160 is an abundant number, since it is smaller than the sum of its proper divisors (690859019904).

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

268658876160 is a wasteful number, since it uses less digits than its factorization.

268658876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752351 (or 752334 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 268658876160 in words is "two hundred sixty-eight billion, six hundred fifty-eight million, eight hundred seventy-six thousand, one hundred sixty".