66555465121200 has 480 divisors, whose sum is σ = 238192443707904. Its totient is φ = 15749888000000.

The previous prime is 66555465121177. The next prime is 66555465121213. The reversal of 66555465121200 is 212156455566.

66555465121200 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66555465121200.

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, 94305640 + ... + 95008760.

Almost surely, 2^{66555465121200} is an apocalyptic number.

66555465121200 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 66555465121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119096221853952).

66555465121200 is an abundant number, since it is smaller than the sum of its proper divisors (171636978586704).

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

66555465121200 is a wasteful number, since it uses less digits than its factorization.

66555465121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703325 (or 703314 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 66555465121200 in words is "sixty-six trillion, five hundred fifty-five billion, four hundred sixty-five million, one hundred twenty-one thousand, two hundred".