8516064332160 has 1536 divisors, whose sum is σ = 38008936627200. Its totient is φ = 1763942400000.

The previous prime is 8516064332107. The next prime is 8516064332177. The reversal of 8516064332160 is 612334606158.

8516064332160 is a `hidden beast` number, since 8 + 5 + 1 + 606 + 4 + 3 + 32 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5869099435 + ... + 5869100885.

It is an arithmetic number, because the mean of its divisors is an integer number (24745401450).

Almost surely, 2^{8516064332160} is an apocalyptic number.

8516064332160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8516064332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004468313600).

8516064332160 is an abundant number, since it is smaller than the sum of its proper divisors (29492872295040).

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

8516064332160 is a wasteful number, since it uses less digits than its factorization.

8516064332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 8516064332160 in words is "eight trillion, five hundred sixteen billion, sixty-four million, three hundred thirty-two thousand, one hundred sixty".