8050218511104 has 864 divisors, whose sum is σ = 30706214676480. Its totient is φ = 2056629657600.

The previous prime is 8050218511057. The next prime is 8050218511121. The reversal of 8050218511104 is 4011158120508.

8050218511104 is a `hidden beast` number, since 80 + 50 + 2 + 1 + 8 + 511 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227241937 + ... + 227277359.

It is an arithmetic number, because the mean of its divisors is an integer number (35539600320).

Almost surely, 2^{8050218511104} is an apocalyptic number.

8050218511104 is a gapful number since it is divisible by the number (84) 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 8050218511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353107338240).

8050218511104 is an abundant number, since it is smaller than the sum of its proper divisors (22655996165376).

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

8050218511104 is a wasteful number, since it uses less digits than its factorization.

8050218511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35534 (or 35507 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 8050218511104 in words is "eight trillion, fifty billion, two hundred eighteen million, five hundred eleven thousand, one hundred four".