89675554242240 has 672 divisors, whose sum is σ = 314272500272640. Its totient is φ = 23466718199808.

The previous prime is 89675554242233. The next prime is 89675554242251. The reversal of 89675554242240 is 4224245557698.

It is a happy number.

89675554242240 is a `hidden beast` number, since 8 + 9 + 6 + 7 + 5 + 5 + 542 + 42 + 2 + 40 = 666.

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, 20667329991 + ... + 20667334329.

It is an arithmetic number, because the mean of its divisors is an integer number (467667411120).

Almost surely, 2^{89675554242240} is an apocalyptic number.

89675554242240 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 89675554242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157136250136320).

89675554242240 is an abundant number, since it is smaller than the sum of its proper divisors (224596946030400).

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

89675554242240 is a wasteful number, since it uses less digits than its factorization.

89675554242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 89675554242240 in words is "eighty-nine trillion, six hundred seventy-five billion, five hundred fifty-four million, two hundred forty-two thousand, two hundred forty".