73859828352 has 128 divisors (see below), whose sum is σ = 198391403520. Its totient is φ = 24345292800.

The previous prime is 73859828297. The next prime is 73859828363. The reversal of 73859828352 is 25382895837.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12685602 + ... + 12691422.

It is an arithmetic number, because the mean of its divisors is an integer number (1549932840).

Almost surely, 2^73859828352 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 73859828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99195701760).

73859828352 is an abundant number, since it is smaller than the sum of its proper divisors (124531575168).

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

73859828352 is a wasteful number, since it uses less digits than its factorization.

73859828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6190 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 73859828352 in words is "seventy-three billion, eight hundred fifty-nine million, eight hundred twenty-eight thousand, three hundred fifty-two".