66888888888900 has 288 divisors, whose sum is σ = 214842709186560. Its totient is φ = 15964030241280.

The previous prime is 66888888888881. The next prime is 66888888889021. The reversal of 66888888888900 is 988888888866.

66888888888900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66888888888795 and 66888888888804.

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, 17907891 + ... + 21318309.

It is an arithmetic number, because the mean of its divisors is an integer number (745981629120).

Almost surely, 2^{66888888888900} is an apocalyptic number.

66888888888900 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 66888888888900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107421354593280).

66888888888900 is an abundant number, since it is smaller than the sum of its proper divisors (147953820297660).

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

66888888888900 is a wasteful number, since it uses less digits than its factorization.

66888888888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410603 (or 3410596 counting only the distinct ones).

The product of its (nonzero) digits is 43486543872, while the sum is 93.

The spelling of 66888888888900 in words is "sixty-six trillion, eight hundred eighty-eight billion, eight hundred eighty-eight million, eight hundred eighty-eight thousand, nine hundred".