8108513740800 has 432 divisors, whose sum is σ = 31679372546640. Its totient is φ = 1965699072000.

The previous prime is 8108513740781. The next prime is 8108513740807. The reversal of 8108513740800 is 80473158018.

It is a happy number.

8108513740800 is a `hidden beast` number, since 8 + 10 + 8 + 513 + 7 + 40 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8108513740807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4268955 + ... + 5868645.

It is an arithmetic number, because the mean of its divisors is an integer number (73331880895).

Almost surely, 2^{8108513740800} is an apocalyptic number.

8108513740800 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 8108513740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839686273320).

8108513740800 is an abundant number, since it is smaller than the sum of its proper divisors (23570858805840).

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

8108513740800 is a wasteful number, since it uses less digits than its factorization.

8108513740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599740 (or 1599712 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

Adding to 8108513740800 its reverse (80473158018), we get a palindrome (8188986898818).

The spelling of 8108513740800 in words is "eight trillion, one hundred eight billion, five hundred thirteen million, seven hundred forty thousand, eight hundred".