89535831985152 has 1320 divisors, whose sum is σ = 326420871701760. Its totient is φ = 24328171929600.

The previous prime is 89535831985121. The next prime is 89535831985169. The reversal of 89535831985152 is 25158913853598.

It is a happy number.

89535831985152 is a `hidden beast` number, since 8 + 9 + 5 + 358 + 31 + 98 + 5 + 152 = 666.

It is a super-3 number, since 3×89535831985152³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16732539277 + ... + 16732544627.

It is an arithmetic number, because the mean of its divisors is an integer number (247288539168).

Almost surely, 2^{89535831985152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89535831985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163210435850880).

89535831985152 is an abundant number, since it is smaller than the sum of its proper divisors (236885039716608).

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

89535831985152 is a wasteful number, since it uses less digits than its factorization.

89535831985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5565 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 72.

The spelling of 89535831985152 in words is "eighty-nine trillion, five hundred thirty-five billion, eight hundred thirty-one million, nine hundred eighty-five thousand, one hundred fifty-two".