89380233623808 has 864 divisors, whose sum is σ = 275291390005632. Its totient is φ = 28911491481600.

The previous prime is 89380233623767. The next prime is 89380233623827. The reversal of 89380233623808 is 80832633208398.

89380233623808 is a `hidden beast` number, since 8 + 93 + 80 + 2 + 33 + 62 + 380 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156532808163 + ... + 156532808733.

It is an arithmetic number, because the mean of its divisors is an integer number (318624293988).

Almost surely, 2^{89380233623808} 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 89380233623808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137645695002816).

89380233623808 is an abundant number, since it is smaller than the sum of its proper divisors (185911156381824).

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

89380233623808 is a wasteful number, since it uses less digits than its factorization.

89380233623808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 89380233623808 in words is "eighty-nine trillion, three hundred eighty billion, two hundred thirty-three million, six hundred twenty-three thousand, eight hundred eight".