75838224000 has 1536 divisors, whose sum is σ = 337650094080. Its totient is φ = 14622720000.

The previous prime is 75838223977. The next prime is 75838224031. The reversal of 75838224000 is 42283857.

It is a self number, because there is not a number n which added to its sum of digits gives 75838224000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1068143965 + ... + 1068144035.

It is an arithmetic number, because the mean of its divisors is an integer number (219824280).

Almost surely, 2^75838224000 is an apocalyptic number.

75838224000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75838224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168825047040).

75838224000 is an abundant number, since it is smaller than the sum of its proper divisors (261811870080).

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

75838224000 is a wasteful number, since it uses less digits than its factorization.

75838224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 75838224000 in words is "seventy-five billion, eight hundred thirty-eight million, two hundred twenty-four thousand".