8533575516816 has 480 divisors, whose sum is σ = 28737477350400. Its totient is φ = 2361625362432.

The previous prime is 8533575516761. The next prime is 8533575516901. The reversal of 8533575516816 is 6186155753358.

8533575516816 is a `hidden beast` number, since 8 + 5 + 3 + 3 + 5 + 7 + 551 + 68 + 16 = 666.

It is a super-2 number, since 2×8533575516816² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225159180 + ... + 225197076.

It is an arithmetic number, because the mean of its divisors is an integer number (59869744480).

Almost surely, 2^{8533575516816} 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 8533575516816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368738675200).

8533575516816 is an abundant number, since it is smaller than the sum of its proper divisors (20203901833584).

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

8533575516816 is a wasteful number, since it uses less digits than its factorization.

8533575516816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38076 (or 38053 counting only the distinct ones).

The product of its digits is 90720000, while the sum is 63.

The spelling of 8533575516816 in words is "eight trillion, five hundred thirty-three billion, five hundred seventy-five million, five hundred sixteen thousand, eight hundred sixteen".