89383073280 has 320 divisors, whose sum is σ = 303556999680. Its totient is φ = 22359179264.

The previous prime is 89383073279. The next prime is 89383073309. The reversal of 89383073280 is 8237038398.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×89383073280³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 46870087 + ... + 46871993.

It is an arithmetic number, because the mean of its divisors is an integer number (948615624).

Almost surely, 2^89383073280 is an apocalyptic number.

89383073280 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 89383073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151778499840).

89383073280 is an abundant number, since it is smaller than the sum of its proper divisors (214173926400).

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

89383073280 is a wasteful number, since it uses less digits than its factorization.

89383073280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 89383073280 in words is "eighty-nine billion, three hundred eighty-three million, seventy-three thousand, two hundred eighty".