89282319579648 has 800 divisors, whose sum is σ = 305667670548240. Its totient is φ = 25855064801280.

The previous prime is 89282319579637. The next prime is 89282319579667. The reversal of 89282319579648 is 84697591328298.

89282319579648 is a `hidden beast` number, since 8 + 9 + 2 + 8 + 2 + 31 + 9 + 579 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12419365388544 + 76862954191104 = 3524112^2 + 8767152^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1548908908 + ... + 1548966548.

Almost surely, 2^{89282319579648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89282319579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152833835274120).

89282319579648 is an abundant number, since it is smaller than the sum of its proper divisors (216385350968592).

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

89282319579648 is an equidigital number, since it uses as much as digits as its factorization.

89282319579648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57727 (or 57676 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 89282319579648 in words is "eighty-nine trillion, two hundred eighty-two billion, three hundred nineteen million, five hundred seventy-nine thousand, six hundred forty-eight".