8516132352000 has 2496 divisors, whose sum is σ = 39471752226816. Its totient is φ = 1716741734400.

The previous prime is 8516132351911. The next prime is 8516132352017. The reversal of 8516132352000 is 2532316158.

8516132352000 is a `hidden beast` number, since 8 + 5 + 1 + 613 + 2 + 35 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9644543559 + ... + 9644544441.

It is an arithmetic number, because the mean of its divisors is an integer number (15814003296).

Almost surely, 2^{8516132352000} is an apocalyptic number.

8516132352000 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 8516132352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19735876113408).

8516132352000 is an abundant number, since it is smaller than the sum of its proper divisors (30955619874816).

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

8516132352000 is a wasteful number, since it uses less digits than its factorization.

8516132352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 8516132352000 its reverse (2532316158), we get a palindrome (8518664668158).

The spelling of 8516132352000 in words is "eight trillion, five hundred sixteen billion, one hundred thirty-two million, three hundred fifty-two thousand".