89408315808 has 336 divisors, whose sum is σ = 317500585920. Its totient is φ = 24199907328.

The previous prime is 89408315791. The next prime is 89408315819. The reversal of 89408315808 is 80851380498.

89408315808 is a `hidden beast` number, since 89 + 408 + 3 + 158 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3088216 + ... + 3117032.

It is an arithmetic number, because the mean of its divisors is an integer number (944942220).

Almost surely, 2^89408315808 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 89408315808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158750292960).

89408315808 is an abundant number, since it is smaller than the sum of its proper divisors (228092270112).

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

89408315808 is a wasteful number, since it uses less digits than its factorization.

89408315808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28871 (or 28848 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 89408315808 in words is "eighty-nine billion, four hundred eight million, three hundred fifteen thousand, eight hundred eight".