66055022107200 has 504 divisors, whose sum is σ = 269960619384768. Its totient is φ = 15005659484160.

The previous prime is 66055022107199. The next prime is 66055022107273. The reversal of 66055022107200 is 270122055066.

66055022107200 is a `hidden beast` number, since 6 + 6 + 0 + 550 + 22 + 10 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

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 71 ways as a sum of consecutive naturals, for example, 14420254 + ... + 18440546.

Almost surely, 2^{66055022107200} is an apocalyptic number.

66055022107200 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 66055022107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134980309692384).

66055022107200 is an abundant number, since it is smaller than the sum of its proper divisors (203905597277568).

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

66055022107200 is a wasteful number, since it uses less digits than its factorization.

66055022107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020491 (or 4020473 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 66055022107200 in words is "sixty-six trillion, fifty-five billion, twenty-two million, one hundred seven thousand, two hundred".