8632055882016 has 576 divisors, whose sum is σ = 29369256763392. Its totient is φ = 2442984302592.

The previous prime is 8632055882011. The next prime is 8632055882057. The reversal of 8632055882016 is 6102885502368.

8632055882016 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 0 + 558 + 82 + 0 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8632055882011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4526509735 + ... + 4526511641.

It is an arithmetic number, because the mean of its divisors is an integer number (50988292992).

Almost surely, 2^{8632055882016} 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 8632055882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684628381696).

8632055882016 is an abundant number, since it is smaller than the sum of its proper divisors (20737200881376).

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

8632055882016 is a wasteful number, since it uses less digits than its factorization.

8632055882016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 8632055882016 in words is "eight trillion, six hundred thirty-two billion, fifty-five million, eight hundred eighty-two thousand, sixteen".