73535685120 has 480 divisors, whose sum is σ = 265512939120. Its totient is φ = 18785894400.

The previous prime is 73535685109. The next prime is 73535685137. The reversal of 73535685120 is 2158653537.

73535685120 is a `hidden beast` number, since 7 + 3 + 535 + 68 + 51 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39508717824 + 34026967296 = 198768^2 + 184464^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 104900770 + ... + 104901470.

Almost surely, 2^73535685120 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 73535685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132756469560).

73535685120 is an abundant number, since it is smaller than the sum of its proper divisors (191977254000).

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

73535685120 is a wasteful number, since it uses less digits than its factorization.

73535685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 73535685120 in words is "seventy-three billion, five hundred thirty-five million, six hundred eighty-five thousand, one hundred twenty".