8210054160000 has 1280 divisors, whose sum is σ = 37751375692800. Its totient is φ = 1705950720000.

The previous prime is 8210054159987. The next prime is 8210054160031. The reversal of 8210054160000 is 614500128.

8210054160000 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 0 + 54 + 1 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 166295319 + ... + 166344681.

It is an arithmetic number, because the mean of its divisors is an integer number (29493262260).

Almost surely, 2^{8210054160000} is an apocalyptic number.

8210054160000 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 8210054160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875687846400).

8210054160000 is an abundant number, since it is smaller than the sum of its proper divisors (29541321532800).

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

8210054160000 is a wasteful number, since it uses less digits than its factorization.

8210054160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49424 (or 49391 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 8210054160000 its reverse (614500128), we get a palindrome (8210668660128).

The spelling of 8210054160000 in words is "eight trillion, two hundred ten billion, fifty-four million, one hundred sixty thousand".