66985027200 has 1152 divisors, whose sum is σ = 299712067200. Its totient is φ = 13868236800.

The previous prime is 66985027157. The next prime is 66985027237. The reversal of 66985027200 is 272058966.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 159868591 + ... + 159869009.

It is an arithmetic number, because the mean of its divisors is an integer number (260166725).

Almost surely, 2^66985027200 is an apocalyptic number.

66985027200 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 66985027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149856033600).

66985027200 is an abundant number, since it is smaller than the sum of its proper divisors (232727040000).

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

66985027200 is a wasteful number, since it uses less digits than its factorization.

66985027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 66985027200 in words is "sixty-six billion, nine hundred eighty-five million, twenty-seven thousand, two hundred".