8216985600 has 360 divisors, whose sum is σ = 30229523520. Its totient is φ = 2188247040.

The previous prime is 8216985583. The next prime is 8216985617. The reversal of 8216985600 is 65896128.

8216985600 is a `hidden beast` number, since 8 + 21 + 69 + 8 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8216985583) and next prime (8216985617).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11058829 + ... + 11059571.

Almost surely, 2^8216985600 is an apocalyptic number.

8216985600 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 8216985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114761760).

8216985600 is an abundant number, since it is smaller than the sum of its proper divisors (22012537920).

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

8216985600 is an equidigital number, since it uses as much as digits as its factorization.

8216985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8216985600 is about 90647.5901499869. The cubic root of 8216985600 is about 2017.9210713003.

The spelling of 8216985600 in words is "eight billion, two hundred sixteen million, nine hundred eighty-five thousand, six hundred".