66889151712700 has 288 divisors, whose sum is σ = 160340314313088. Its totient is φ = 24116047872000.

The previous prime is 66889151712671. The next prime is 66889151712743. The reversal of 66889151712700 is 721715198866.

66889151712700 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 (61).

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 95 ways as a sum of consecutive naturals, for example, 2138589462 + ... + 2138620738.

It is an arithmetic number, because the mean of its divisors is an integer number (556737202476).

Almost surely, 2^{66889151712700} 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 66889151712700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80170157156544).

66889151712700 is an abundant number, since it is smaller than the sum of its proper divisors (93451162600388).

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

66889151712700 is a wasteful number, since it uses less digits than its factorization.

66889151712700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31913 (or 31906 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 61.

The spelling of 66889151712700 in words is "sixty-six trillion, eight hundred eighty-nine billion, one hundred fifty-one million, seven hundred twelve thousand, seven hundred".