89924340000 has 960 divisors, whose sum is σ = 346892958720. Its totient is φ = 20160000000.

The previous prime is 89924339971. The next prime is 89924340017. The reversal of 89924340000 is 4342998.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 890339950 + ... + 890340050.

It is an arithmetic number, because the mean of its divisors is an integer number (361346832).

Almost surely, 2^89924340000 is an apocalyptic number.

89924340000 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 89924340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173446479360).

89924340000 is an abundant number, since it is smaller than the sum of its proper divisors (256968618720).

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

89924340000 is a wasteful number, since it uses less digits than its factorization.

89924340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

Adding to 89924340000 its reverse (4342998), we get a palindrome (89928682998).

It can be divided in two parts, 89924 and 340000, that added together give a palindrome (429924).

The spelling of 89924340000 in words is "eighty-nine billion, nine hundred twenty-four million, three hundred forty thousand".