68102089681200 has 240 divisors, whose sum is σ = 218420710882176. Its totient is φ = 18138339072000.

The previous prime is 68102089681193. The next prime is 68102089681259. The reversal of 68102089681200 is 218698020186.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9071807847 + ... + 9071815353.

Almost surely, 2^{68102089681200} is an apocalyptic number.

68102089681200 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 68102089681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109210355441088).

68102089681200 is an abundant number, since it is smaller than the sum of its proper divisors (150318621200976).

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

68102089681200 is a wasteful number, since it uses less digits than its factorization.

68102089681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 68102089681200 in words is "sixty-eight trillion, one hundred two billion, eighty-nine million, six hundred eighty-one thousand, two hundred".