978528686825879 has 32 divisors (see below), whose sum is σ = 1178034684288000. Its totient is φ = 794016119508480.

The previous prime is 978528686825821. The next prime is 978528686825909.

978528686825879 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-978528686825879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978528686825279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2574404414 + ... + 2574784484.

It is an arithmetic number, because the mean of its divisors is an integer number (36813583884000).

Almost surely, 2^{978528686825879} is an apocalyptic number.

978528686825879 is a deficient number, since it is larger than the sum of its proper divisors (199505997462121).

978528686825879 is a wasteful number, since it uses less digits than its factorization.

978528686825879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394143.

The product of its digits is 468202291200, while the sum is 98.

The spelling of 978528686825879 in words is "nine hundred seventy-eight trillion, five hundred twenty-eight billion, six hundred eighty-six million, eight hundred twenty-five thousand, eight hundred seventy-nine".