89282248704 has 510 divisors, whose sum is σ = 295305584420. Its totient is φ = 26860584960.

The previous prime is 89282248687. The next prime is 89282248751. The reversal of 89282248704 is 40784228298.

89282248704 is a `hidden beast` number, since 89 + 2 + 82 + 2 + 487 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 642318267 + ... + 642318405.

Almost surely, 2^89282248704 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 89282248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147652792210).

89282248704 is an abundant number, since it is smaller than the sum of its proper divisors (206023335716).

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

89282248704 is an equidigital number, since it uses as much as digits as its factorization.

89282248704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 89282248704 in words is "eighty-nine billion, two hundred eighty-two million, two hundred forty-eight thousand, seven hundred four".