89451331200 has 1728 divisors, whose sum is σ = 424246804800. Its totient is φ = 17517772800.

The previous prime is 89451331183. The next prime is 89451331201. The reversal of 89451331200 is 213315498.

89451331200 is a `hidden beast` number, since 8 + 94 + 513 + 31 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (89451331201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 463478304 + ... + 463478496.

Almost surely, 2^89451331200 is an apocalyptic number.

89451331200 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 89451331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212123402400).

89451331200 is an abundant number, since it is smaller than the sum of its proper divisors (334795473600).

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

89451331200 is a wasteful number, since it uses less digits than its factorization.

89451331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 89451331200 its reverse (213315498), we get a palindrome (89664646698).

The spelling of 89451331200 in words is "eighty-nine billion, four hundred fifty-one million, three hundred thirty-one thousand, two hundred".