68115020256000 has 720 divisors, whose sum is σ = 253868123789280. Its totient is φ = 18135987609600.

The previous prime is 68115020255981. The next prime is 68115020256007. The reversal of 68115020256000 is 65202051186.

68115020256000 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 5 + 0 + 20 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68115020256007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1708108062 + ... + 1708147938.

It is an arithmetic number, because the mean of its divisors is an integer number (352594616374).

Almost surely, 2^{68115020256000} is an apocalyptic number.

68115020256000 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 68115020256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126934061894640).

68115020256000 is an abundant number, since it is smaller than the sum of its proper divisors (185753103533280).

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

68115020256000 is an equidigital number, since it uses as much as digits as its factorization.

68115020256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40579 (or 40546 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 68115020256000 in words is "sixty-eight trillion, one hundred fifteen billion, twenty million, two hundred fifty-six thousand".