68189059133280 has 1152 divisors, whose sum is σ = 254121074444160. Its totient is φ = 17074573148160.

The previous prime is 68189059133207. The next prime is 68189059133317. The reversal of 68189059133280 is 8233195098186.

68189059133280 is a `hidden beast` number, since 6 + 8 + 1 + 8 + 9 + 0 + 591 + 3 + 32 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 149210194812 + ... + 149210195268.

It is an arithmetic number, because the mean of its divisors is an integer number (220591210455).

Almost surely, 2^{68189059133280} is an apocalyptic number.

68189059133280 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 68189059133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127060537222080).

68189059133280 is an abundant number, since it is smaller than the sum of its proper divisors (185932015310880).

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

68189059133280 is a wasteful number, since it uses less digits than its factorization.

68189059133280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 68189059133280 in words is "sixty-eight trillion, one hundred eighty-nine billion, fifty-nine million, one hundred thirty-three thousand, two hundred eighty".