89376005283840 has 2688 divisors, whose sum is σ = 383337664819200. Its totient is φ = 19721827123200.

The previous prime is 89376005283833. The next prime is 89376005283883. The reversal of 89376005283840 is 4838250067398.

89376005283840 is a `hidden beast` number, since 8 + 9 + 3 + 7 + 60 + 0 + 528 + 3 + 8 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 57699163386 + ... + 57699164934.

It is an arithmetic number, because the mean of its divisors is an integer number (142610738400).

Almost surely, 2^{89376005283840} is an apocalyptic number.

89376005283840 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 89376005283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191668832409600).

89376005283840 is an abundant number, since it is smaller than the sum of its proper divisors (293961659535360).

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

89376005283840 is a wasteful number, since it uses less digits than its factorization.

89376005283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 89376005283840 in words is "eighty-nine trillion, three hundred seventy-six billion, five million, two hundred eighty-three thousand, eight hundred forty".