67535028218112 has 576 divisors, whose sum is σ = 226488836259840. Its totient is φ = 17387713953792.

The previous prime is 67535028218059. The next prime is 67535028218173. The reversal of 67535028218112 is 21181282053576.

67535028218112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 6728601958 + ... + 6728611994.

Almost surely, 2^{67535028218112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67535028218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113244418129920).

67535028218112 is an abundant number, since it is smaller than the sum of its proper divisors (158953808041728).

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

67535028218112 is a wasteful number, since it uses less digits than its factorization.

67535028218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12358 (or 12344 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 67535028218112 in words is "sixty-seven trillion, five hundred thirty-five billion, twenty-eight million, two hundred eighteen thousand, one hundred twelve".