268221122265600 has 1440 divisors, whose sum is σ = 1121390149651200. Its totient is φ = 61198952693760.

The previous prime is 268221122265557. The next prime is 268221122265643. The reversal of 268221122265600 is 6562221122862.

268221122265600 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 2 + 1 + 12 + 2 + 26 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (268221122265557) and next prime (268221122265643).

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 23431559077 + ... + 23431570523.

It is an arithmetic number, because the mean of its divisors is an integer number (778743159480).

Almost surely, 2^{268221122265600} is an apocalyptic number.

268221122265600 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 268221122265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560695074825600).

268221122265600 is an abundant number, since it is smaller than the sum of its proper divisors (853169027385600).

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

268221122265600 is a wasteful number, since it uses less digits than its factorization.

268221122265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095 (or 12057 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 268221122265600 in words is "two hundred sixty-eight trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred sixty-five thousand, six hundred".