268860441600 has 198 divisors, whose sum is σ = 962648401130. Its totient is φ = 71696056320.

The previous prime is 268860441527. The next prime is 268860441611. The reversal of 268860441600 is 6144068862.

268860441600 is a `hidden beast` number, since 26 + 8 + 8 + 604 + 4 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 91329675264 + 177530766336 = 302208^2 + 421344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 353065 + ... + 813864.

Almost surely, 2^268860441600 is an apocalyptic number.

268860441600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268860441600 is an abundant number, since it is smaller than the sum of its proper divisors (693787959530).

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

268860441600 is a wasteful number, since it uses less digits than its factorization.

268860441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166965 (or 1166939 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 268860441600 in words is "two hundred sixty-eight billion, eight hundred sixty million, four hundred forty-one thousand, six hundred".