89331048576000 has 3168 divisors, whose sum is σ = 417338373164544. Its totient is φ = 18161418240000.

The previous prime is 89331048575983. The next prime is 89331048576113. The reversal of 89331048576000 is 67584013398.

89331048576000 is a `hidden beast` number, since 8 + 93 + 3 + 1 + 0 + 485 + 76 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 287 ways as a sum of consecutive naturals, for example, 29183614470 + ... + 29183617530.

Almost surely, 2^{89331048576000} is an apocalyptic number.

89331048576000 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 89331048576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208669186582272).

89331048576000 is an abundant number, since it is smaller than the sum of its proper divisors (328007324588544).

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

89331048576000 is a wasteful number, since it uses less digits than its factorization.

89331048576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 89331048576000 in words is "eighty-nine trillion, three hundred thirty-one billion, forty-eight million, five hundred seventy-six thousand".