66885235800 has 384 divisors, whose sum is σ = 216843264000. Its totient is φ = 17042780160.

The previous prime is 66885235783. The next prime is 66885235817. The reversal of 66885235800 is 853258866.

It is an interprime number because it is at equal distance from previous prime (66885235783) and next prime (66885235817).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448894126 + ... + 448894274.

It is an arithmetic number, because the mean of its divisors is an integer number (564696000).

Almost surely, 2^66885235800 is an apocalyptic number.

66885235800 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 66885235800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108421632000).

66885235800 is an abundant number, since it is smaller than the sum of its proper divisors (149958028200).

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

66885235800 is a wasteful number, since it uses less digits than its factorization.

66885235800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 66885235800 in words is "sixty-six billion, eight hundred eighty-five million, two hundred thirty-five thousand, eight hundred".