8521675538688 has 432 divisors, whose sum is σ = 28024059038976. Its totient is φ = 2566254182400.

The previous prime is 8521675538687. The next prime is 8521675538711. The reversal of 8521675538688 is 8868355761258.

8521675538688 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 6 + 7 + 5 + 538 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8521675538688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8521675538683) 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, 37896988 + ... + 38121188.

Almost surely, 2^{8521675538688} 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 8521675538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012029519488).

8521675538688 is an abundant number, since it is smaller than the sum of its proper divisors (19502383500288).

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

8521675538688 is a wasteful number, since it uses less digits than its factorization.

8521675538688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224292 (or 224266 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 72.

The spelling of 8521675538688 in words is "eight trillion, five hundred twenty-one billion, six hundred seventy-five million, five hundred thirty-eight thousand, six hundred eighty-eight".