268229954725920 has 288 divisors, whose sum is σ = 998677423021824. Its totient is φ = 65016948326400.

The previous prime is 268229954725913. The next prime is 268229954725927. The reversal of 268229954725920 is 29527459922862.

It is a happy number.

268229954725920 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 2 + 9 + 9 + 547 + 2 + 59 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (268229954725913) and next prime (268229954725927).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×268229954725920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (268229954725927) 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 47 ways as a sum of consecutive naturals, for example, 120564729 + ... + 122769351.

It is an arithmetic number, because the mean of its divisors is an integer number (3467629941048).

Almost surely, 2^{268229954725920} is an apocalyptic number.

268229954725920 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 268229954725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499338711510912).

268229954725920 is an abundant number, since it is smaller than the sum of its proper divisors (730447468295904).

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

268229954725920 is a wasteful number, since it uses less digits than its factorization.

268229954725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212336 (or 2212325 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 268229954725920 in words is "two hundred sixty-eight trillion, two hundred twenty-nine billion, nine hundred fifty-four million, seven hundred twenty-five thousand, nine hundred twenty".