89713008000 has 2560 divisors, whose sum is σ = 443601100800. Its totient is φ = 17418240000.

The previous prime is 89713007999. The next prime is 89713008013. The reversal of 89713008000 is 80031798.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 2893967985 + ... + 2893968015.

It is an arithmetic number, because the mean of its divisors is an integer number (173281680).

Almost surely, 2^89713008000 is an apocalyptic number.

89713008000 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 89713008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221800550400).

89713008000 is an abundant number, since it is smaller than the sum of its proper divisors (353888092800).

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

89713008000 is a wasteful number, since it uses less digits than its factorization.

89713008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 89713008000 its reverse (80031798), we get a palindrome (89793039798).

The spelling of 89713008000 in words is "eighty-nine billion, seven hundred thirteen million, eight thousand".