89206480440 has 768 divisors, whose sum is σ = 377279078400. Its totient is φ = 18351083520.

The previous prime is 89206480417. The next prime is 89206480471. The reversal of 89206480440 is 4408460298.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103367449 + ... + 103368311.

It is an arithmetic number, because the mean of its divisors is an integer number (491248800).

Almost surely, 2^89206480440 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 89206480440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188639539200).

89206480440 is an abundant number, since it is smaller than the sum of its proper divisors (288072597960).

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

89206480440 is a wasteful number, since it uses less digits than its factorization.

89206480440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 89206480440 in words is "eighty-nine billion, two hundred six million, four hundred eighty thousand, four hundred forty".