89442585840960 has 896 divisors, whose sum is σ = 367127828282880. Its totient is φ = 20258566963200.

The previous prime is 89442585840931. The next prime is 89442585840983. The reversal of 89442585840960 is 6904858524498.

89442585840960 is a `hidden beast` number, since 8 + 9 + 442 + 5 + 8 + 58 + 40 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221146120 + ... + 221550200.

It is an arithmetic number, because the mean of its divisors is an integer number (409740879780).

Almost surely, 2^{89442585840960} is an apocalyptic number.

89442585840960 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 89442585840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183563914141440).

89442585840960 is an abundant number, since it is smaller than the sum of its proper divisors (277685242441920).

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

89442585840960 is a wasteful number, since it uses less digits than its factorization.

89442585840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404272 (or 404256 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 89442585840960 in words is "eighty-nine trillion, four hundred forty-two billion, five hundred eighty-five million, eight hundred forty thousand, nine hundred sixty".