75075992535040 has 1440 divisors, whose sum is σ = 232718385070080. Its totient is φ = 23073008910336.

The previous prime is 75075992534999. The next prime is 75075992535043. The reversal of 75075992535040 is 4053529957057.

75075992535040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 75075992535040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75075992535043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222777425752 + ... + 222777426088.

It is an arithmetic number, because the mean of its divisors is an integer number (161609989632).

Almost surely, 2^{75075992535040} is an apocalyptic number.

75075992535040 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 75075992535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116359192535040).

75075992535040 is an abundant number, since it is smaller than the sum of its proper divisors (157642392535040).

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

75075992535040 is a wasteful number, since it uses less digits than its factorization.

75075992535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 59535000, while the sum is 61.

The spelling of 75075992535040 in words is "seventy-five trillion, seventy-five billion, nine hundred ninety-two million, five hundred thirty-five thousand, forty".