89034481536000 has 5632 divisors, whose sum is σ = 426847456788480. Its totient is φ = 15861547008000.

The previous prime is 89034481535969. The next prime is 89034481536029. The reversal of 89034481536000 is 63518443098.

It is a tau number, because it is divible by the number of its divisors (5632).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 533140607917 + ... + 533140608083.

Almost surely, 2^{89034481536000} is an apocalyptic number.

89034481536000 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 89034481536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213423728394240).

89034481536000 is an abundant number, since it is smaller than the sum of its proper divisors (337812975252480).

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

89034481536000 is a wasteful number, since it uses less digits than its factorization.

89034481536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

Adding to 89034481536000 its reverse (63518443098), we get a palindrome (89097999979098).

The spelling of 89034481536000 in words is "eighty-nine trillion, thirty-four billion, four hundred eighty-one million, five hundred thirty-six thousand".