89221305600 has 1080 divisors, whose sum is σ = 393779379840. Its totient is φ = 19488522240.

The previous prime is 89221305571. The next prime is 89221305601. The reversal of 89221305600 is 650312298.

89221305600 is a `hidden beast` number, since 8 + 92 + 2 + 1 + 3 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89221305601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83461866 + ... + 83462934.

Almost surely, 2^89221305600 is an apocalyptic number.

89221305600 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 89221305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196889689920).

89221305600 is an abundant number, since it is smaller than the sum of its proper divisors (304558074240).

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

89221305600 is a wasteful number, since it uses less digits than its factorization.

89221305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1109 counting only the distinct ones).

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

Adding to 89221305600 its reverse (650312298), we get a palindrome (89871617898).

The spelling of 89221305600 in words is "eighty-nine billion, two hundred twenty-one million, three hundred five thousand, six hundred".