68258729058912 has 576 divisors, whose sum is σ = 234344889192960. Its totient is φ = 19140115636224.

The previous prime is 68258729058907. The next prime is 68258729058917. The reversal of 68258729058912 is 21985092785286.

68258729058912 is a `hidden beast` number, since 6 + 8 + 2 + 5 + 8 + 7 + 29 + 0 + 589 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (68258729058907) and next prime (68258729058917).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68258729058917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1968624808 + ... + 1968659480.

It is an arithmetic number, because the mean of its divisors is an integer number (406848765960).

Almost surely, 2^{68258729058912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68258729058912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117172444596480).

68258729058912 is an abundant number, since it is smaller than the sum of its proper divisors (166086160134048).

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

68258729058912 is a wasteful number, since it uses less digits than its factorization.

68258729058912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35377 (or 35357 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 68258729058912 in words is "sixty-eight trillion, two hundred fifty-eight billion, seven hundred twenty-nine million, fifty-eight thousand, nine hundred twelve".