68093705011200 has 720 divisors, whose sum is σ = 247565365469184. Its totient is φ = 16377171148800.

The previous prime is 68093705011067. The next prime is 68093705011201. The reversal of 68093705011200 is 211050739086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68093705011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1716613767 + ... + 1716653433.

Almost surely, 2^{68093705011200} is an apocalyptic number.

68093705011200 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 68093705011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123782682734592).

68093705011200 is an abundant number, since it is smaller than the sum of its proper divisors (179471660457984).

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

68093705011200 is a wasteful number, since it uses less digits than its factorization.

68093705011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39846 (or 39815 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 68093705011200 in words is "sixty-eight trillion, ninety-three billion, seven hundred five million, eleven thousand, two hundred".