89121633160 has 192 divisors, whose sum is σ = 239967446400. Its totient is φ = 29685325824.

The previous prime is 89121633103. The next prime is 89121633173. The reversal of 89121633160 is 6133612198.

It is a super-2 number, since 2×89121633160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 16263301 + ... + 16268779.

It is an arithmetic number, because the mean of its divisors is an integer number (1249830450).

Almost surely, 2^89121633160 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 89121633160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119983723200).

89121633160 is an abundant number, since it is smaller than the sum of its proper divisors (150845813240).

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

89121633160 is a wasteful number, since it uses less digits than its factorization.

89121633160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 89121633160 in words is "eighty-nine billion, one hundred twenty-one million, six hundred thirty-three thousand, one hundred sixty".