66181710000 has 400 divisors, whose sum is σ = 247170680064. Its totient is φ = 14941056000.

The previous prime is 66181709989. The next prime is 66181710011. The reversal of 66181710000 is 1718166.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66181709989) and next prime (66181710011).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66181710000.

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 79 ways as a sum of consecutive naturals, for example, 17428102 + ... + 17431898.

Almost surely, 2^66181710000 is an apocalyptic number.

66181710000 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 66181710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123585340032).

66181710000 is an abundant number, since it is smaller than the sum of its proper divisors (180988970064).

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

66181710000 is a wasteful number, since it uses less digits than its factorization.

66181710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 66181710000 in words is "sixty-six billion, one hundred eighty-one million, seven hundred ten thousand".