68170781952000 has 4320 divisors, whose sum is σ = 320902346124360. Its totient is φ = 14347055923200.

The previous prime is 68170781951999. The next prime is 68170781952019. The reversal of 68170781952000 is 25918707186.

It can be written as a sum of positive squares in 12 ways, for example, as 16633085543424 + 51537696408576 = 4078368^2 + 7178976^2 .

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 171714815802 + ... + 171714816198.

Almost surely, 2^{68170781952000} is an apocalyptic number.

68170781952000 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 68170781952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160451173062180).

68170781952000 is an abundant number, since it is smaller than the sum of its proper divisors (252731564172360).

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

68170781952000 is a wasteful number, since it uses less digits than its factorization.

68170781952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 68170781952000 in words is "sixty-eight trillion, one hundred seventy billion, seven hundred eighty-one million, nine hundred fifty-two thousand".