89671367808000 has 2112 divisors, whose sum is σ = 369424348839936. Its totient is φ = 20717199360000.

The previous prime is 89671367807963. The next prime is 89671367808037. The reversal of 89671367808000 is 80876317698.

It is an interprime number because it is at equal distance from previous prime (89671367807963) and next prime (89671367808037).

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 26319742297 + ... + 26319745703.

Almost surely, 2^{89671367808000} is an apocalyptic number.

89671367808000 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 89671367808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184712174419968).

89671367808000 is an abundant number, since it is smaller than the sum of its proper divisors (279752981031936).

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

89671367808000 is a wasteful number, since it uses less digits than its factorization.

89671367808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 89671367808000 in words is "eighty-nine trillion, six hundred seventy-one billion, three hundred sixty-seven million, eight hundred eight thousand".