89579520000000 has 1280 divisors, whose sum is σ = 335870819856000. Its totient is φ = 23887872000000.

The previous prime is 89579519999999. The next prime is 89579520000011. The reversal of 89579520000000 is 2597598.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 17915903999998 + ... + 17915904000002.

Almost surely, 2^{89579520000000} is an apocalyptic number.

89579520000000 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 89579520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935409928000).

89579520000000 is an abundant number, since it is smaller than the sum of its proper divisors (246291299856000).

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

89579520000000 is an frugal number, since it uses more digits than its factorization.

89579520000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

Adding to 89579520000000 its reverse (2597598), we get a palindrome (89579522597598).

The spelling of 89579520000000 in words is "eighty-nine trillion, five hundred seventy-nine billion, five hundred twenty million", and thus it is an aban number.