876596468101 has 16 divisors (see below), whose sum is σ = 917205182208. Its totient is φ = 836908249600.

The previous prime is 876596467997. The next prime is 876596468147. The reversal of 876596468101 is 101864695678.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 876596468101 - 2¹⁵ = 876596435333 is a prime.

It is a super-3 number, since 3×876596468101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 876596468101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876596468701) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16841046 + ... + 16893016.

It is an arithmetic number, because the mean of its divisors is an integer number (57325323888).

Almost surely, 2^876596468101 is an apocalyptic number.

It is an amenable number.

876596468101 is a deficient number, since it is larger than the sum of its proper divisors (40608714107).

876596468101 is a wasteful number, since it uses less digits than its factorization.

876596468101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60812.

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 876596468101 in words is "eight hundred seventy-six billion, five hundred ninety-six million, four hundred sixty-eight thousand, one hundred one".