68159895552000 has 2400 divisors, whose sum is σ = 294509670174720. Its totient is φ = 15361494220800.

The previous prime is 68159895551987. The next prime is 68159895552041. The reversal of 68159895552000 is 25559895186.

68159895552000 is a `hidden beast` number, since 6 + 8 + 1 + 59 + 8 + 9 + 55 + 520 + 0 + 0 = 666.

68159895552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 91736063629 + ... + 91736064371.

Almost surely, 2^{68159895552000} is an apocalyptic number.

68159895552000 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 68159895552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147254835087360).

68159895552000 is an abundant number, since it is smaller than the sum of its proper divisors (226349774622720).

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

68159895552000 is an frugal number, since it uses more digits than its factorization.

68159895552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 63.

The spelling of 68159895552000 in words is "sixty-eight trillion, one hundred fifty-nine billion, eight hundred ninety-five million, five hundred fifty-two thousand".