73589541120 has 576 divisors, whose sum is σ = 269900225280. Its totient is φ = 18977587200.

The previous prime is 73589541119. The next prime is 73589541127. The reversal of 73589541120 is 2114598537.

73589541120 is a `hidden beast` number, since 7 + 3 + 5 + 89 + 541 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (73589541127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 141246460 + ... + 141246980.

It is an arithmetic number, because the mean of its divisors is an integer number (468576780).

Almost surely, 2^73589541120 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 73589541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134950112640).

73589541120 is an abundant number, since it is smaller than the sum of its proper divisors (196310684160).

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

73589541120 is a wasteful number, since it uses less digits than its factorization.

73589541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 73589541120 in words is "seventy-three billion, five hundred eighty-nine million, five hundred forty-one thousand, one hundred twenty".