89340641280 has 1008 divisors, whose sum is σ = 371332899504. Its totient is φ = 20384317440.

The previous prime is 89340641279. The next prime is 89340641311. The reversal of 89340641280 is 8214604398.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5255331832 + ... + 5255331848.

It is an arithmetic number, because the mean of its divisors is an integer number (368385813).

Almost surely, 2^89340641280 is an apocalyptic number.

89340641280 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 89340641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185666449752).

89340641280 is an abundant number, since it is smaller than the sum of its proper divisors (281992258224).

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

89340641280 is an frugal number, since it uses more digits than its factorization.

89340641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 89340641280 in words is "eighty-nine billion, three hundred forty million, six hundred forty-one thousand, two hundred eighty".