89231224320 has 640 divisors, whose sum is σ = 364013844480. Its totient is φ = 20295843840.

The previous prime is 89231224309. The next prime is 89231224331. The reversal of 89231224320 is 2342213298.

89231224320 is a `hidden beast` number, since 89 + 2 + 31 + 224 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (89231224309) and next prime (89231224331).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×89231224320² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 150473944 + ... + 150474536.

It is an arithmetic number, because the mean of its divisors is an integer number (568771632).

Almost surely, 2^89231224320 is an apocalyptic number.

89231224320 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 89231224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182006922240).

89231224320 is an abundant number, since it is smaller than the sum of its proper divisors (274782620160).

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

89231224320 is a wasteful number, since it uses less digits than its factorization.

89231224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 89231224320 in words is "eighty-nine billion, two hundred thirty-one million, two hundred twenty-four thousand, three hundred twenty".