73318529088 has 504 divisors, whose sum is σ = 262897315200. Its totient is φ = 19416692736.

The previous prime is 73318529083. The next prime is 73318529117. The reversal of 73318529088 is 88092581337.

73318529088 is a `hidden beast` number, since 7 + 3 + 31 + 8 + 529 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×73318529088² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73318529083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25202578 + ... + 25205486.

Almost surely, 2^73318529088 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 73318529088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131448657600).

73318529088 is an abundant number, since it is smaller than the sum of its proper divisors (189578786112).

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

73318529088 is a wasteful number, since it uses less digits than its factorization.

73318529088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 73318529088 in words is "seventy-three billion, three hundred eighteen million, five hundred twenty-nine thousand, eighty-eight".