89889823968 has 384 divisors, whose sum is σ = 299172206592. Its totient is φ = 23026139136.

The previous prime is 89889823949. The next prime is 89889823979. The reversal of 89889823968 is 86932898898.

Its product of digits (859963392) is a multiple of the sum of its prime divisors (1458).

It is a junction number, because it is equal to n+sod(n) for n = 89889823893 and 89889823902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82240830 + ... + 82241922.

It is an arithmetic number, because the mean of its divisors is an integer number (779094288).

Almost surely, 2^89889823968 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 89889823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149586103296).

89889823968 is an abundant number, since it is smaller than the sum of its proper divisors (209282382624).

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

89889823968 is a wasteful number, since it uses less digits than its factorization.

89889823968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1458 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 78.

The spelling of 89889823968 in words is "eighty-nine billion, eight hundred eighty-nine million, eight hundred twenty-three thousand, nine hundred sixty-eight".