10435584879489 has 128 divisors (see below), whose sum is σ = 17646637916160. Its totient is φ = 5328488448000.

The previous prime is 10435584879463. The next prime is 10435584879529. The reversal of 10435584879489 is 98497848553401.

It is not a de Polignac number, because 10435584879489 - 2⁵ = 10435584879457 is a prime.

It is a super-2 number, since 2×10435584879489² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10435584879489.

It is not an unprimeable number, because it can be changed into a prime (10435584879689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3790621537 + ... + 3790624289.

It is an arithmetic number, because the mean of its divisors is an integer number (137864358720).

Almost surely, 2^{10435584879489} is an apocalyptic number.

It is an amenable number.

10435584879489 is a deficient number, since it is larger than the sum of its proper divisors (7211053036671).

10435584879489 is a wasteful number, since it uses less digits than its factorization.

10435584879489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031.

The product of its (nonzero) digits is 1393459200, while the sum is 75.

The spelling of 10435584879489 in words is "ten trillion, four hundred thirty-five billion, five hundred eighty-four million, eight hundred seventy-nine thousand, four hundred eighty-nine".