87433774168 has 128 divisors (see below), whose sum is σ = 187602186240. Its totient is φ = 37920960000.

The previous prime is 87433774151. The next prime is 87433774231. The reversal of 87433774168 is 86147733478.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15333718 + ... + 15339418.

It is an arithmetic number, because the mean of its divisors is an integer number (1465642080).

Almost surely, 2^87433774168 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 87433774168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93801093120).

87433774168 is an abundant number, since it is smaller than the sum of its proper divisors (100168412072).

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

87433774168 is a wasteful number, since it uses less digits than its factorization.

87433774168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5885 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 58.

The spelling of 87433774168 in words is "eighty-seven billion, four hundred thirty-three million, seven hundred seventy-four thousand, one hundred sixty-eight".