66085511356800 has 1152 divisors, whose sum is σ = 255343908193920. Its totient is φ = 16178061312000.

The previous prime is 66085511356771. The next prime is 66085511356801. The reversal of 66085511356800 is 865311558066.

66085511356800 is a `hidden beast` number, since 6 + 6 + 0 + 8 + 551 + 1 + 3 + 5 + 6 + 80 + 0 = 666.

66085511356800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×66085511356800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66085511356801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 87299222022 + ... + 87299222778.

It is an arithmetic number, because the mean of its divisors is an integer number (221652698085).

Almost surely, 2^{66085511356800} is an apocalyptic number.

66085511356800 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 66085511356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127671954096960).

66085511356800 is an abundant number, since it is smaller than the sum of its proper divisors (189258396837120).

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

66085511356800 is a wasteful number, since it uses less digits than its factorization.

66085511356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 66085511356800 in words is "sixty-six trillion, eighty-five billion, five hundred eleven million, three hundred fifty-six thousand, eight hundred".