66505252100 has 144 divisors (see below), whose sum is σ = 172784441088. Its totient is φ = 21724200960.

The previous prime is 66505252069. The next prime is 66505252141. The reversal of 66505252100 is 125250566.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4129664 + ... + 4145736.

It is an arithmetic number, because the mean of its divisors is an integer number (1199891952).

Almost surely, 2^66505252100 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 66505252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86392220544).

66505252100 is an abundant number, since it is smaller than the sum of its proper divisors (106279188988).

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

66505252100 is a wasteful number, since it uses less digits than its factorization.

66505252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16374 (or 16367 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 66505252100 in words is "sixty-six billion, five hundred five million, two hundred fifty-two thousand, one hundred".