89079350330880 has 2880 divisors, whose sum is σ = 419597372620800. Its totient is φ = 17803392122880.

The previous prime is 89079350330857. The next prime is 89079350330897. The reversal of 89079350330880 is 8803305397098.

89079350330880 is a `hidden beast` number, since 8 + 9 + 0 + 7 + 93 + 503 + 30 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10875267585 + ... + 10875275775.

It is an arithmetic number, because the mean of its divisors is an integer number (145693532160).

Almost surely, 2^{89079350330880} is an apocalyptic number.

89079350330880 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 89079350330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209798686310400).

89079350330880 is an abundant number, since it is smaller than the sum of its proper divisors (330518022289920).

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

89079350330880 is a wasteful number, since it uses less digits than its factorization.

89079350330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 89079350330880 in words is "eighty-nine trillion, seventy-nine billion, three hundred fifty million, three hundred thirty thousand, eight hundred eighty".