8216660536800 has 288 divisors, whose sum is σ = 27474964427232. Its totient is φ = 2131355566080.

The previous prime is 8216660536783. The next prime is 8216660536807. The reversal of 8216660536800 is 86350666128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216660536807) 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 47 ways as a sum of consecutive naturals, for example, 454025352 + ... + 454043448.

It is an arithmetic number, because the mean of its divisors is an integer number (95399182039).

Almost surely, 2^{8216660536800} is an apocalyptic number.

8216660536800 is a gapful number since it is divisible by the number (80) 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 8216660536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737482213616).

8216660536800 is an abundant number, since it is smaller than the sum of its proper divisors (19258303890432).

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

8216660536800 is a wasteful number, since it uses less digits than its factorization.

8216660536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23270 (or 23257 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 8216660536800 in words is "eight trillion, two hundred sixteen billion, six hundred sixty million, five hundred thirty-six thousand, eight hundred".