89380085760 has 672 divisors, whose sum is σ = 372934748160. Its totient is φ = 19343867904.

The previous prime is 89380085759. The next prime is 89380085827. The reversal of 89380085760 is 6758008398.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 89380085697 and 89380085706.

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 47 ways as a sum of consecutive naturals, for example, 49028209 + ... + 49030031.

Almost surely, 2^89380085760 is an apocalyptic number.

89380085760 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 89380085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186467374080).

89380085760 is an abundant number, since it is smaller than the sum of its proper divisors (283554662400).

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

89380085760 is a wasteful number, since it uses less digits than its factorization.

89380085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 89380085760 in words is "eighty-nine billion, three hundred eighty million, eighty-five thousand, seven hundred sixty".