89609224320 has 1152 divisors, whose sum is σ = 407598609600. Its totient is φ = 18602680320.

The previous prime is 89609224291. The next prime is 89609224339. The reversal of 89609224320 is 2342290698.

89609224320 is a `hidden beast` number, since 8 + 9 + 609 + 2 + 2 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 83824746 + ... + 83825814.

Almost surely, 2^89609224320 is an apocalyptic number.

89609224320 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 89609224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203799304800).

89609224320 is an abundant number, since it is smaller than the sum of its proper divisors (317989385280).

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

89609224320 is a wasteful number, since it uses less digits than its factorization.

89609224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 89609224320 in words is "eighty-nine billion, six hundred nine million, two hundred twenty-four thousand, three hundred twenty".