89785760064 has 448 divisors, whose sum is σ = 319964897280. Its totient is φ = 21459271680.

The previous prime is 89785760059. The next prime is 89785760081. The reversal of 89785760064 is 46006758798.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×89785760064² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 88984392 + ... + 88985400.

It is an arithmetic number, because the mean of its divisors is an integer number (714207360).

Almost surely, 2^89785760064 is an apocalyptic number.

89785760064 is a gapful number since it is divisible by the number (84) 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 89785760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159982448640).

89785760064 is an abundant number, since it is smaller than the sum of its proper divisors (230179137216).

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

89785760064 is a wasteful number, since it uses less digits than its factorization.

89785760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 89785760064 in words is "eighty-nine billion, seven hundred eighty-five million, seven hundred sixty thousand, sixty-four".