89806447808064 has 1344 divisors, whose sum is σ = 307586193868800. Its totient is φ = 25619458056192.

The previous prime is 89806447808053. The next prime is 89806447808083. The reversal of 89806447808064 is 46080874460898.

89806447808064 is a `hidden beast` number, since 8 + 98 + 0 + 6 + 4 + 478 + 0 + 8 + 0 + 64 = 666.

89806447808064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89806447807983 and 89806447808001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40145929954 + ... + 40145932190.

It is an arithmetic number, because the mean of its divisors is an integer number (228858775200).

Almost surely, 2^{89806447808064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89806447808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153793096934400).

89806447808064 is an abundant number, since it is smaller than the sum of its proper divisors (217779746060736).

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

89806447808064 is a wasteful number, since it uses less digits than its factorization.

89806447808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 89806447808064 in words is "eighty-nine trillion, eight hundred six billion, four hundred forty-seven million, eight hundred eight thousand, sixty-four".