89082766080 has 864 divisors, whose sum is σ = 397636162560. Its totient is φ = 17867243520.

The previous prime is 89082766067. The next prime is 89082766139. The reversal of 89082766080 is 8066728098.

89082766080 is a `hidden beast` number, since 8 + 9 + 0 + 8 + 27 + 6 + 608 + 0 = 666.

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, 25722429 + ... + 25725891.

It is an arithmetic number, because the mean of its divisors is an integer number (460227040).

Almost surely, 2^89082766080 is an apocalyptic number.

89082766080 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 89082766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198818081280).

89082766080 is an abundant number, since it is smaller than the sum of its proper divisors (308553396480).

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

89082766080 is a wasteful number, since it uses less digits than its factorization.

89082766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 89082766080 in words is "eighty-nine billion, eighty-two million, seven hundred sixty-six thousand, eighty".