89945856000 has 2304 divisors, whose sum is σ = 448911590400. Its totient is φ = 17252352000.

The previous prime is 89945855941. The next prime is 89945856001. The reversal of 89945856000 is 65854998.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89945856001) 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 191 ways as a sum of consecutive naturals, for example, 6918911994 + ... + 6918912006.

It is an arithmetic number, because the mean of its divisors is an integer number (194840100).

Almost surely, 2^89945856000 is an apocalyptic number.

89945856000 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 89945856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224455795200).

89945856000 is an abundant number, since it is smaller than the sum of its proper divisors (358965734400).

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

89945856000 is a wasteful number, since it uses less digits than its factorization.

89945856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 89945856000 in words is "eighty-nine billion, nine hundred forty-five million, eight hundred fifty-six thousand".