89966363424 has 192 divisors, whose sum is σ = 273431531520. Its totient is φ = 25369344000.

The previous prime is 89966363419. The next prime is 89966363449. The reversal of 89966363424 is 42436366998.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44914807 + ... + 44916809.

It is an arithmetic number, because the mean of its divisors is an integer number (1424122560).

Almost surely, 2^89966363424 is an apocalyptic number.

89966363424 is a gapful number since it is divisible by the number (84) 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 89966363424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136715765760).

89966363424 is an abundant number, since it is smaller than the sum of its proper divisors (183465168096).

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

89966363424 is a wasteful number, since it uses less digits than its factorization.

89966363424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2855 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 60.

The spelling of 89966363424 in words is "eighty-nine billion, nine hundred sixty-six million, three hundred sixty-three thousand, four hundred twenty-four".