8516534400 has 960 divisors, whose sum is σ = 35811547200. Its totient is φ = 1974067200.

The previous prime is 8516534399. The next prime is 8516534413. The reversal of 8516534400 is 44356158.

It is a happy number.

8516534400 is a `hidden beast` number, since 85 + 1 + 6 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82684749 + ... + 82684851.

It is an arithmetic number, because the mean of its divisors is an integer number (37303695).

Almost surely, 2^8516534400 is an apocalyptic number.

8516534400 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 8516534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905773600).

8516534400 is an abundant number, since it is smaller than the sum of its proper divisors (27295012800).

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

8516534400 is a wasteful number, since it uses less digits than its factorization.

8516534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8516534400 is about 92285.0713821038. The cubic root of 8516534400 is about 2042.1499824446.

The spelling of 8516534400 in words is "eight billion, five hundred sixteen million, five hundred thirty-four thousand, four hundred".