75963948801 has 32 divisors (see below), whose sum is σ = 109427834880. Its totient is φ = 46596700224.

The previous prime is 75963948751. The next prime is 75963948833. The reversal of 75963948801 is 10884936957.

It is not a de Polignac number, because 75963948801 - 2¹⁷ = 75963817729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75963948871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20380200 + ... + 20383926.

It is an arithmetic number, because the mean of its divisors is an integer number (3419619840).

Almost surely, 2^75963948801 is an apocalyptic number.

It is an amenable number.

75963948801 is a deficient number, since it is larger than the sum of its proper divisors (33463886079).

75963948801 is a wasteful number, since it uses less digits than its factorization.

75963948801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285.

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 75963948801 in words is "seventy-five billion, nine hundred sixty-three million, nine hundred forty-eight thousand, eight hundred one".