89491671360 has 504 divisors, whose sum is σ = 385621124616. Its totient is φ = 18881372160.

The previous prime is 89491671349. The next prime is 89491671389. The reversal of 89491671360 is 6317619498.

89491671360 is a `hidden beast` number, since 89 + 49 + 167 + 1 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2660083776 + 86831587584 = 51576^2 + 294672^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 89491671297 and 89491671306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1810170 + ... + 1858950.

It is an arithmetic number, because the mean of its divisors is an integer number (765121279).

Almost surely, 2^89491671360 is an apocalyptic number.

89491671360 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 89491671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192810562308).

89491671360 is an abundant number, since it is smaller than the sum of its proper divisors (296129453256).

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

89491671360 is a wasteful number, since it uses less digits than its factorization.

89491671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48831 (or 48811 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 89491671360 in words is "eighty-nine billion, four hundred ninety-one million, six hundred seventy-one thousand, three hundred sixty".