89380705200 has 480 divisors, whose sum is σ = 302137661952. Its totient is φ = 22563840000.

The previous prime is 89380705187. The next prime is 89380705223. The reversal of 89380705200 is 250708398.

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 95 ways as a sum of consecutive naturals, for example, 393747487 + ... + 393747713.

Almost surely, 2^89380705200 is an apocalyptic number.

89380705200 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 89380705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151068830976).

89380705200 is an abundant number, since it is smaller than the sum of its proper divisors (212756956752).

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

89380705200 is a wasteful number, since it uses less digits than its factorization.

89380705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 89380705200 in words is "eighty-nine billion, three hundred eighty million, seven hundred five thousand, two hundred".