75252878068500 has 576 divisors, whose sum is σ = 260699281629696. Its totient is φ = 18122151168000.

The previous prime is 75252878068439. The next prime is 75252878068513. The reversal of 75252878068500 is 586087825257.

It is a happy number.

75252878068500 is a `hidden beast` number, since 7 + 5 + 2 + 52 + 8 + 78 + 0 + 6 + 8 + 500 = 666.

It is a congruent number.

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, 12391381464 + ... + 12391387536.

It is an arithmetic number, because the mean of its divisors is an integer number (452602919496).

Almost surely, 2^{75252878068500} 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 75252878068500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130349640814848).

75252878068500 is an abundant number, since it is smaller than the sum of its proper divisors (185446403561196).

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

75252878068500 is a wasteful number, since it uses less digits than its factorization.

75252878068500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 75252878068500 in words is "seventy-five trillion, two hundred fifty-two billion, eight hundred seventy-eight million, sixty-eight thousand, five hundred".