66161260200 has 576 divisors, whose sum is σ = 248137689600. Its totient is φ = 14524876800.

The previous prime is 66161260163. The next prime is 66161260223. The reversal of 66161260200 is 206216166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208710442 + ... + 208710758.

It is an arithmetic number, because the mean of its divisors is an integer number (430794600).

Almost surely, 2^66161260200 is an apocalyptic number.

66161260200 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 66161260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124068844800).

66161260200 is an abundant number, since it is smaller than the sum of its proper divisors (181976429400).

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

66161260200 is a wasteful number, since it uses less digits than its factorization.

66161260200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 66161260200 its reverse (206216166), we get a palindrome (66367476366).

The spelling of 66161260200 in words is "sixty-six billion, one hundred sixty-one million, two hundred sixty thousand, two hundred".