8508105216 has 400 divisors, whose sum is σ = 28060120704. Its totient is φ = 2550030336.

The previous prime is 8508105197. The next prime is 8508105233. The reversal of 8508105216 is 6125018058.

8508105216 is a `hidden beast` number, since 8 + 50 + 81 + 0 + 521 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 23182665 + ... + 23183031.

Almost surely, 2^8508105216 is an apocalyptic number.

8508105216 is a gapful number since it is divisible by the number (86) 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 8508105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030060352).

8508105216 is an abundant number, since it is smaller than the sum of its proper divisors (19552015488).

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

8508105216 is a wasteful number, since it uses less digits than its factorization.

8508105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 8508105216 is about 92239.3908045798. The cubic root of 8508105216 is about 2041.4760252022.

The spelling of 8508105216 in words is "eight billion, five hundred eight million, one hundred five thousand, two hundred sixteen".