89448129239040 has 6144 divisors, whose sum is σ = 421118698291200. Its totient is φ = 17887238553600.

The previous prime is 89448129239017. The next prime is 89448129239047. The reversal of 89448129239040 is 4093292184498.

89448129239040 is a `hidden beast` number, since 8 + 9 + 4 + 481 + 2 + 9 + 23 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a super-3 number, since 3×89448129239040³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89448129239047) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 1687700551654 + ... + 1687700551706.

It is an arithmetic number, because the mean of its divisors is an integer number (68541454800).

Almost surely, 2^{89448129239040} is an apocalyptic number.

89448129239040 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 89448129239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210559349145600).

89448129239040 is an abundant number, since it is smaller than the sum of its proper divisors (331670569052160).

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

89448129239040 is a wasteful number, since it uses less digits than its factorization.

89448129239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 89448129239040 in words is "eighty-nine trillion, four hundred forty-eight billion, one hundred twenty-nine million, two hundred thirty-nine thousand, forty".