8118199510272 has 180 divisors, whose sum is σ = 24310909202580. Its totient is φ = 2694450880512.

The previous prime is 8118199510259. The next prime is 8118199510313. The reversal of 8118199510272 is 2720159918118.

It is a happy number.

8118199510272 is a `hidden beast` number, since 8 + 1 + 18 + 1 + 99 + 510 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1043535799296 + 7074663710976 = 1021536^2 + 2659824^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3991354 + ... + 5671622.

It is an arithmetic number, because the mean of its divisors is an integer number (135060606681).

Almost surely, 2^{8118199510272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8118199510272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12155454601290).

8118199510272 is an abundant number, since it is smaller than the sum of its proper divisors (16192709692308).

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

8118199510272 is a wasteful number, since it uses less digits than its factorization.

8118199510272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680530 (or 1680507 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 54.

The spelling of 8118199510272 in words is "eight trillion, one hundred eighteen billion, one hundred ninety-nine million, five hundred ten thousand, two hundred seventy-two".