89195340960 has 288 divisors, whose sum is σ = 337681431360. Its totient is φ = 21256396800.

The previous prime is 89195340931. The next prime is 89195341009. The reversal of 89195340960 is 6904359198.

89195340960 is a `hidden beast` number, since 8 + 9 + 19 + 534 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 89195340897 and 89195340906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886840 + ... + 982280.

It is an arithmetic number, because the mean of its divisors is an integer number (1172504970).

Almost surely, 2^89195340960 is an apocalyptic number.

89195340960 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 89195340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168840715680).

89195340960 is an abundant number, since it is smaller than the sum of its proper divisors (248486090400).

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

89195340960 is a wasteful number, since it uses less digits than its factorization.

89195340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95532 (or 95521 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 89195340960 in words is "eighty-nine billion, one hundred ninety-five million, three hundred forty thousand, nine hundred sixty".