75965605896 has 128 divisors (see below), whose sum is σ = 211392921600. Its totient is φ = 22648896000.

The previous prime is 75965605883. The next prime is 75965605931. The reversal of 75965605896 is 69850656957.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 514041 + ... + 645111.

It is an arithmetic number, because the mean of its divisors is an integer number (1651507200).

Almost surely, 2^75965605896 is an apocalyptic number.

75965605896 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 75965605896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105696460800).

75965605896 is an abundant number, since it is smaller than the sum of its proper divisors (135427315704).

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

75965605896 is a wasteful number, since it uses less digits than its factorization.

75965605896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131171 (or 131167 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 66.

The spelling of 75965605896 in words is "seventy-five billion, nine hundred sixty-five million, six hundred five thousand, eight hundred ninety-six".