68443135272300 has 216 divisors, whose sum is σ = 213519564373248. Its totient is φ = 16894797532800.

The previous prime is 68443135272263. The next prime is 68443135272301. The reversal of 68443135272300 is 327253134486.

It is a self number, because there is not a number n which added to its sum of digits gives 68443135272300.

It is not an unprimeable number, because it can be changed into a prime (68443135272301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1469977 + ... + 11791823.

It is an arithmetic number, because the mean of its divisors is an integer number (988516501728).

Almost surely, 2^{68443135272300} is an apocalyptic number.

68443135272300 is a gapful number since it is divisible by the number (60) 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 68443135272300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106759782186624).

68443135272300 is an abundant number, since it is smaller than the sum of its proper divisors (145076429100948).

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

68443135272300 is a wasteful number, since it uses less digits than its factorization.

68443135272300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321949 (or 10321911 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 68443135272300 in words is "sixty-eight trillion, four hundred forty-three billion, one hundred thirty-five million, two hundred seventy-two thousand, three hundred".