89373261669120 has 1152 divisors, whose sum is σ = 385445707315200. Its totient is φ = 19309938278400.

The previous prime is 89373261669119. The next prime is 89373261669151. The reversal of 89373261669120 is 2196616237398.

89373261669120 is a `hidden beast` number, since 8 + 9 + 3 + 7 + 3 + 2 + 616 + 6 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 143008525 + ... + 143632115.

It is an arithmetic number, because the mean of its divisors is an integer number (334588287600).

Almost surely, 2^{89373261669120} is an apocalyptic number.

89373261669120 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 89373261669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192722853657600).

89373261669120 is an abundant number, since it is smaller than the sum of its proper divisors (296072445646080).

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

89373261669120 is a wasteful number, since it uses less digits than its factorization.

89373261669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623674 (or 623654 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 89373261669120 in words is "eighty-nine trillion, three hundred seventy-three billion, two hundred sixty-one million, six hundred sixty-nine thousand, one hundred twenty".