89990484480 has 480 divisors, whose sum is σ = 350256082176. Its totient is φ = 21186772992.

The previous prime is 89990484461. The next prime is 89990484511. The reversal of 89990484480 is 8448409998.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6882429 + ... + 6895491.

Almost surely, 2^89990484480 is an apocalyptic number.

89990484480 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 89990484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175128041088).

89990484480 is an abundant number, since it is smaller than the sum of its proper divisors (260265597696).

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

89990484480 is a wasteful number, since it uses less digits than its factorization.

89990484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13128 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 89990484480 in words is "eighty-nine billion, nine hundred ninety million, four hundred eighty-four thousand, four hundred eighty".