68357111130000 has 4800 divisors, whose sum is σ = 326047077937152. Its totient is φ = 12946728960000.

The previous prime is 68357111129999. The next prime is 68357111130047. The reversal of 68357111130000 is 3111175386.

68357111130000 is a `hidden beast` number, since 6 + 83 + 571 + 1 + 1 + 1 + 3 + 0 + 0 + 0 + 0 = 666.

68357111130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 959 ways as a sum of consecutive naturals, for example, 395127809914 + ... + 395127810086.

Almost surely, 2^{68357111130000} is an apocalyptic number.

68357111130000 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 68357111130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163023538968576).

68357111130000 is an abundant number, since it is smaller than the sum of its proper divisors (257689966807152).

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

68357111130000 is a wasteful number, since it uses less digits than its factorization.

68357111130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 68357111130000 in words is "sixty-eight trillion, three hundred fifty-seven billion, one hundred eleven million, one hundred thirty thousand".