89359124400000 has 4608 divisors, whose sum is σ = 427301650944000. Its totient is φ = 18202060800000.

The previous prime is 89359124399959. The next prime is 89359124400011. The reversal of 89359124400000 is 442195398.

It is a super-2 number, since 2×89359124400000² (a number of 29 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 213267599791 + ... + 213267600209.

It is an arithmetic number, because the mean of its divisors is an integer number (92730393000).

Almost surely, 2^{89359124400000} is an apocalyptic number.

89359124400000 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 89359124400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213650825472000).

89359124400000 is an abundant number, since it is smaller than the sum of its proper divisors (337942526544000).

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

89359124400000 is a wasteful number, since it uses less digits than its factorization.

89359124400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

Adding to 89359124400000 its reverse (442195398), we get a palindrome (89359566595398).

The spelling of 89359124400000 in words is "eighty-nine trillion, three hundred fifty-nine billion, one hundred twenty-four million, four hundred thousand".