89840506880800 has 576 divisors, whose sum is σ = 242886687257088. Its totient is φ = 32242452480000.

The previous prime is 89840506880749. The next prime is 89840506880827. The reversal of 89840506880800 is 808860504898.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84675312270 + ... + 84675313330.

It is an arithmetic number, because the mean of its divisors is an integer number (421678276488).

Almost surely, 2^{89840506880800} is an apocalyptic number.

89840506880800 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 89840506880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121443343628544).

89840506880800 is an abundant number, since it is smaller than the sum of its proper divisors (153046180376288).

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

89840506880800 is a wasteful number, since it uses less digits than its factorization.

89840506880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 64.

The spelling of 89840506880800 in words is "eighty-nine trillion, eight hundred forty billion, five hundred six million, eight hundred eighty thousand, eight hundred".