73889331159168 has 960 divisors, whose sum is σ = 276537725217600. Its totient is φ = 19130360426496.

The previous prime is 73889331159107. The next prime is 73889331159209. The reversal of 73889331159168 is 86195113398837.

73889331159168 is a `hidden beast` number, since 7 + 3 + 8 + 89 + 331 + 1 + 59 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 73889331159096 and 73889331159105.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 729410730 + ... + 729512022.

It is an arithmetic number, because the mean of its divisors is an integer number (288060130435).

Almost surely, 2^{73889331159168} 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 73889331159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138268862608800).

73889331159168 is an abundant number, since it is smaller than the sum of its proper divisors (202648394058432).

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

73889331159168 is a wasteful number, since it uses less digits than its factorization.

73889331159168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101391 (or 101347 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 73889331159168 in words is "seventy-three trillion, eight hundred eighty-nine billion, three hundred thirty-one million, one hundred fifty-nine thousand, one hundred sixty-eight".