95505916629768 has 128 divisors (see below), whose sum is σ = 258843284294400. Its totient is φ = 29274935545856.

The previous prime is 95505916629749. The next prime is 95505916629829. The reversal of 95505916629768 is 86792661950559.

It is a super-2 number, since 2×95505916629768² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95505916629693 and 95505916629702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9073005 + ... + 16532732.

It is an arithmetic number, because the mean of its divisors is an integer number (2022213158550).

Almost surely, 2^{95505916629768} is an apocalyptic number.

It is an amenable number.

95505916629768 is an abundant number, since it is smaller than the sum of its proper divisors (163337367664632).

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

95505916629768 is a wasteful number, since it uses less digits than its factorization.

95505916629768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25606031 (or 25606027 counting only the distinct ones).

The product of its (nonzero) digits is 2204496000, while the sum is 78.

The spelling of 95505916629768 in words is "ninety-five trillion, five hundred five billion, nine hundred sixteen million, six hundred twenty-nine thousand, seven hundred sixty-eight".