89744290720 has 192 divisors, whose sum is σ = 253299916800. Its totient is φ = 29399086080.

The previous prime is 89744290711. The next prime is 89744290721. The reversal of 89744290720 is 2709244798.

It is not an unprimeable number, because it can be changed into a prime (89744290721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2726521 + ... + 2759239.

It is an arithmetic number, because the mean of its divisors is an integer number (1319270400).

Almost surely, 2^89744290720 is an apocalyptic number.

89744290720 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 89744290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126649958400).

89744290720 is an abundant number, since it is smaller than the sum of its proper divisors (163555626080).

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

89744290720 is a wasteful number, since it uses less digits than its factorization.

89744290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32851 (or 32843 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 89744290720 in words is "eighty-nine billion, seven hundred forty-four million, two hundred ninety thousand, seven hundred twenty".