75505042784256 has 272 divisors, whose sum is σ = 212212211715840. Its totient is φ = 23813341839360.

The previous prime is 75505042784219. The next prime is 75505042784261. The reversal of 75505042784256 is 65248724050557.

It is a happy number.

It is a super-2 number, since 2×75505042784256² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75505042784256.

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, 3029520211 + ... + 3029545133.

Almost surely, 2^{75505042784256} is an apocalyptic number.

75505042784256 is a gapful number since it is divisible by the number (76) 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 75505042784256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106106105857920).

75505042784256 is an abundant number, since it is smaller than the sum of its proper divisors (136707168931584).

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

75505042784256 is an equidigital number, since it uses as much as digits as its factorization.

75505042784256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25788 (or 25758 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 60.

The spelling of 75505042784256 in words is "seventy-five trillion, five hundred five billion, forty-two million, seven hundred eighty-four thousand, two hundred fifty-six".