66555522552200 has 192 divisors, whose sum is σ = 171776405160000. Its totient is φ = 23777500032000.

The previous prime is 66555522552161. The next prime is 66555522552263. The reversal of 66555522552200 is 225522555566.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114989126 + ... + 115566474.

It is an arithmetic number, because the mean of its divisors is an integer number (894668776875).

Almost surely, 2^{66555522552200} 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 66555522552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85888202580000).

66555522552200 is an abundant number, since it is smaller than the sum of its proper divisors (105220882607800).

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

66555522552200 is a wasteful number, since it uses less digits than its factorization.

66555522552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578296 (or 578287 counting only the distinct ones).

The product of its (nonzero) digits is 9000000, while the sum is 50.

The spelling of 66555522552200 in words is "sixty-six trillion, five hundred fifty-five billion, five hundred twenty-two million, five hundred fifty-two thousand, two hundred".