8985211200 has 672 divisors, whose sum is σ = 38359608320. Its totient is φ = 2003097600.

The previous prime is 8985211153. The next prime is 8985211237. The reversal of 8985211200 is 21125898.

8985211200 is a `hidden beast` number, since 8 + 9 + 8 + 521 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13002855 + ... + 13003545.

Almost surely, 2^8985211200 is an apocalyptic number.

8985211200 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 8985211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179804160).

8985211200 is an abundant number, since it is smaller than the sum of its proper divisors (29374397120).

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

8985211200 is a wasteful number, since it uses less digits than its factorization.

8985211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 8985211200 is about 94790.3539396283. The cubic root of 8985211200 is about 2078.9438671859.

The spelling of 8985211200 in words is "eight billion, nine hundred eighty-five million, two hundred eleven thousand, two hundred".