8505996712128 has 336 divisors, whose sum is σ = 25515370782720. Its totient is φ = 2809433217024.

The previous prime is 8505996712121. The next prime is 8505996712201. The reversal of 8505996712128 is 8212176995058.

8505996712128 is a `hidden beast` number, since 8 + 5 + 0 + 599 + 6 + 7 + 12 + 1 + 28 = 666.

It is a super-2 number, since 2×8505996712128² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8505996712121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1882271853 + ... + 1882276371.

It is an arithmetic number, because the mean of its divisors is an integer number (75938603520).

Almost surely, 2^{8505996712128} 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 8505996712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12757685391360).

8505996712128 is an abundant number, since it is smaller than the sum of its proper divisors (17009374070592).

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

8505996712128 is a wasteful number, since it uses less digits than its factorization.

8505996712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 8505996712128 in words is "eight trillion, five hundred five billion, nine hundred ninety-six million, seven hundred twelve thousand, one hundred twenty-eight".