89506984320 has 384 divisors, whose sum is σ = 333935915040. Its totient is φ = 21960916992.

The previous prime is 89506984319. The next prime is 89506984327. The reversal of 89506984320 is 2348960598.

89506984320 is a `hidden beast` number, since 8 + 9 + 506 + 98 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89506984327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25232787 + ... + 25236333.

Almost surely, 2^89506984320 is an apocalyptic number.

89506984320 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 89506984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166967957520).

89506984320 is an abundant number, since it is smaller than the sum of its proper divisors (244428930720).

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

89506984320 is a wasteful number, since it uses less digits than its factorization.

89506984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 89506984320 in words is "eighty-nine billion, five hundred six million, nine hundred eighty-four thousand, three hundred twenty".