75013188894 has 144 divisors (see below), whose sum is σ = 195930418320. Its totient is φ = 20656581120.

The previous prime is 75013188889. The next prime is 75013188907. The reversal of 75013188894 is 49888131057.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75013188894.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16444374 + ... + 16448934.

It is an arithmetic number, because the mean of its divisors is an integer number (1360627905).

Almost surely, 2^75013188894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75013188894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97965209160).

75013188894 is an abundant number, since it is smaller than the sum of its proper divisors (120917229426).

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

75013188894 is a wasteful number, since it uses less digits than its factorization.

75013188894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 75013188894 in words is "seventy-five billion, thirteen million, one hundred eighty-eight thousand, eight hundred ninety-four".