89289475938 has 192 divisors, whose sum is σ = 235403400960. Its totient is φ = 24159596544.

The previous prime is 89289475927. The next prime is 89289475973. The reversal of 89289475938 is 83957498298.

89289475938 is a `hidden beast` number, since 8 + 9 + 28 + 9 + 4 + 7 + 593 + 8 = 666.

It is a super-3 number, since 3×89289475938³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon 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, 5509395 + ... + 5525577.

It is an arithmetic number, because the mean of its divisors is an integer number (1226059380).

Almost surely, 2^89289475938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89289475938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117701700480).

89289475938 is an abundant number, since it is smaller than the sum of its proper divisors (146113925022).

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

89289475938 is a wasteful number, since it uses less digits than its factorization.

89289475938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313 (or 16310 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 89289475938 in words is "eighty-nine billion, two hundred eighty-nine million, four hundred seventy-five thousand, nine hundred thirty-eight".