89463548160 has 432 divisors, whose sum is σ = 362395313280. Its totient is φ = 19949322240.

The previous prime is 89463548159. The next prime is 89463548197. The reversal of 89463548160 is 6184536498.

89463548160 is a `hidden beast` number, since 8 + 94 + 6 + 3 + 548 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89463548097 and 89463548106.

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, 3292711 + ... + 3319769.

It is an arithmetic number, because the mean of its divisors is an integer number (838878040).

Almost surely, 2^89463548160 is an apocalyptic number.

89463548160 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 89463548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181197656640).

89463548160 is an abundant number, since it is smaller than the sum of its proper divisors (272931765120).

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

89463548160 is a wasteful number, since it uses less digits than its factorization.

89463548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27134 (or 27117 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 89463548160 in words is "eighty-nine billion, four hundred sixty-three million, five hundred forty-eight thousand, one hundred sixty".