10118877872564 has 36 divisors (see below), whose sum is σ = 18368888960772. Its totient is φ = 4877179269120.

The previous prime is 10118877872549. The next prime is 10118877872569. The reversal of 10118877872564 is 46527877881101.

10118877872564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7656621043600 + 2462256828964 = 2767060^2 + 1569158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10118877872564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10118877872569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4133459 + ... + 6109274.

It is an arithmetic number, because the mean of its divisors is an integer number (510246915577).

Almost surely, 2^{10118877872564} is an apocalyptic number.

It is an amenable number.

10118877872564 is a deficient number, since it is larger than the sum of its proper divisors (8250011088208).

10118877872564 is a wasteful number, since it uses less digits than its factorization.

10118877872564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10243056 (or 10243023 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 65.

The spelling of 10118877872564 in words is "ten trillion, one hundred eighteen billion, eight hundred seventy-seven million, eight hundred seventy-two thousand, five hundred sixty-four".