89449846560 has 288 divisors, whose sum is σ = 332578552320. Its totient is φ = 22449844224.

The previous prime is 89449846513. The next prime is 89449846567. The reversal of 89449846560 is 6564894498.

89449846560 is a `hidden beast` number, since 8 + 94 + 498 + 4 + 6 + 56 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (89449846567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1212657 + ... + 1284303.

It is an arithmetic number, because the mean of its divisors is an integer number (1154786640).

Almost surely, 2^89449846560 is an apocalyptic number.

89449846560 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 89449846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289276160).

89449846560 is an abundant number, since it is smaller than the sum of its proper divisors (243128705760).

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

89449846560 is a wasteful number, since it uses less digits than its factorization.

89449846560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71705 (or 71674 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 89449846560 in words is "eighty-nine billion, four hundred forty-nine million, eight hundred forty-six thousand, five hundred sixty".