66082440211200 has 3888 divisors, whose sum is σ = 305741113816320. Its totient is φ = 14043560509440.

The previous prime is 66082440211181. The next prime is 66082440211231. The reversal of 66082440211200 is 211204428066.

66082440211200 is a `hidden beast` number, since 6 + 6 + 0 + 8 + 2 + 440 + 2 + 1 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 64850284291 + ... + 64850285309.

Almost surely, 2^{66082440211200} is an apocalyptic number.

66082440211200 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 66082440211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152870556908160).

66082440211200 is an abundant number, since it is smaller than the sum of its proper divisors (239658673605120).

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

66082440211200 is a wasteful number, since it uses less digits than its factorization.

66082440211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 66082440211200 its reverse (211204428066), we get a palindrome (66293644639266).

The spelling of 66082440211200 in words is "sixty-six trillion, eighty-two billion, four hundred forty million, two hundred eleven thousand, two hundred".