10492879488 has 128 divisors (see below), whose sum is σ = 34303758720. Its totient is φ = 2767343616.

The previous prime is 10492879487. The next prime is 10492879513. The reversal of 10492879488 is 88497829401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10492879488² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10492879483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115195 + ... + 185082.

It is an arithmetic number, because the mean of its divisors is an integer number (267998115).

Almost surely, 2^10492879488 is an apocalyptic number.

It is an amenable number.

10492879488 is an abundant number, since it is smaller than the sum of its proper divisors (23810879232).

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

10492879488 is a wasteful number, since it uses less digits than its factorization.

10492879488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300314 (or 300302 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 10492879488 in words is "ten billion, four hundred ninety-two million, eight hundred seventy-nine thousand, four hundred eighty-eight".