8511938216064 has 96 divisors (see below), whose sum is σ = 24494568733440. Its totient is φ = 2837245570560.

The previous prime is 8511938216063. The next prime is 8511938216231. The reversal of 8511938216064 is 4606128391158.

It is a happy number.

8511938216064 is a `hidden beast` number, since 8 + 5 + 1 + 1 + 9 + 3 + 8 + 21 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 8511938216064.

It is not an unprimeable number, because it can be changed into a prime (8511938216063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82116909 + ... + 82220499.

It is an arithmetic number, because the mean of its divisors is an integer number (255151757640).

Almost surely, 2^{8511938216064} is an apocalyptic number.

It is an amenable number.

8511938216064 is an abundant number, since it is smaller than the sum of its proper divisors (15982630517376).

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

8511938216064 is a wasteful number, since it uses less digits than its factorization.

8511938216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174938 (or 174923 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 8511938216064 in words is "eight trillion, five hundred eleven billion, nine hundred thirty-eight million, two hundred sixteen thousand, sixty-four".