75825889824 has 96 divisors (see below), whose sum is σ = 206019253440. Its totient is φ = 24390374400.

The previous prime is 75825889813. The next prime is 75825889831. The reversal of 75825889824 is 42898852857.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5926314 + ... + 5939094.

It is an arithmetic number, because the mean of its divisors is an integer number (2146033890).

Almost surely, 2^75825889824 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 75825889824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103009626720).

75825889824 is an abundant number, since it is smaller than the sum of its proper divisors (130193363616).

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

75825889824 is a wasteful number, since it uses less digits than its factorization.

75825889824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14954 (or 14946 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 66.

The spelling of 75825889824 in words is "seventy-five billion, eight hundred twenty-five million, eight hundred eighty-nine thousand, eight hundred twenty-four".