66135369475000 has 192 divisors, whose sum is σ = 178411405939200. Its totient is φ = 22511846160000.

The previous prime is 66135369474899. The next prime is 66135369475037. The reversal of 66135369475000 is 57496353166.

66135369475000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22965589 + ... + 25684411.

It is an arithmetic number, because the mean of its divisors is an integer number (929226072600).

Almost surely, 2^{66135369475000} 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 66135369475000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89205702969600).

66135369475000 is an abundant number, since it is smaller than the sum of its proper divisors (112276036464200).

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

66135369475000 is a wasteful number, since it uses less digits than its factorization.

66135369475000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719000 (or 2718976 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 55.

The spelling of 66135369475000 in words is "sixty-six trillion, one hundred thirty-five billion, three hundred sixty-nine million, four hundred seventy-five thousand".