68152081294080 has 1440 divisors, whose sum is σ = 284815746230400. Its totient is φ = 15554070282240.

The previous prime is 68152081294001. The next prime is 68152081294247. The reversal of 68152081294080 is 8049218025186.

68152081294080 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 208 + 1 + 29 + 408 + 0 = 666.

68152081294080 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 (1440).

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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36309046102 + ... + 36309047978.

It is an arithmetic number, because the mean of its divisors is an integer number (197788712660).

Almost surely, 2^{68152081294080} is an apocalyptic number.

68152081294080 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 68152081294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407873115200).

68152081294080 is an abundant number, since it is smaller than the sum of its proper divisors (216663664936320).

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

68152081294080 is a wasteful number, since it uses less digits than its factorization.

68152081294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 68152081294080 in words is "sixty-eight trillion, one hundred fifty-two billion, eighty-one million, two hundred ninety-four thousand, eighty".