75775497338880 has 288 divisors, whose sum is σ = 269423025681600. Its totient is φ = 20206794571776.

The previous prime is 75775497338867. The next prime is 75775497338887. The reversal of 75775497338880 is 8883379457757.

75775497338880 is a `hidden beast` number, since 7 + 5 + 7 + 75 + 4 + 97 + 3 + 388 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 75775497338880.

It is not an unprimeable number, because it can be changed into a prime (75775497338887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15553531 + ... + 19835909.

It is an arithmetic number, because the mean of its divisors is an integer number (935496616950).

Almost surely, 2^{75775497338880} 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 75775497338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134711512840800).

75775497338880 is an abundant number, since it is smaller than the sum of its proper divisors (193647528342720).

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

75775497338880 is an frugal number, since it uses more digits than its factorization.

75775497338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282427 (or 4282389 counting only the distinct ones).

The product of its (nonzero) digits is 9957427200, while the sum is 81.

The spelling of 75775497338880 in words is "seventy-five trillion, seven hundred seventy-five billion, four hundred ninety-seven million, three hundred thirty-eight thousand, eight hundred eighty".