75905340255 has 48 divisors (see below), whose sum is σ = 145365554880. Its totient is φ = 36444908544.

The previous prime is 75905340149. The next prime is 75905340317. The reversal of 75905340255 is 55204350957.

75905340255 is a `hidden beast` number, since 7 + 5 + 90 + 534 + 0 + 25 + 5 = 666.

It is not a de Polignac number, because 75905340255 - 2⁷ = 75905340127 is a prime.

It is a super-3 number, since 3×75905340255³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 75905340255.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2139420 + ... + 2174609.

It is an arithmetic number, because the mean of its divisors is an integer number (3028449060).

Almost surely, 2^75905340255 is an apocalyptic number.

75905340255 is a deficient number, since it is larger than the sum of its proper divisors (69460214625).

75905340255 is a wasteful number, since it uses less digits than its factorization.

75905340255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314080 (or 4314077 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 75905340255 in words is "seventy-five billion, nine hundred five million, three hundred forty thousand, two hundred fifty-five".