85438726656 has 160 divisors (see below), whose sum is σ = 233834819328. Its totient is φ = 27708456960.

The previous prime is 85438726619. The next prime is 85438726657. The reversal of 85438726656 is 65662783458.

It is a super-3 number, since 3×85438726656³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85438726656.

It is not an unprimeable number, because it can be changed into a prime (85438726657) 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, 12485796 + ... + 12492636.

Almost surely, 2^85438726656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85438726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116917409664).

85438726656 is an abundant number, since it is smaller than the sum of its proper divisors (148396092672).

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

85438726656 is a wasteful number, since it uses less digits than its factorization.

85438726656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7082 (or 7066 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 85438726656 in words is "eighty-five billion, four hundred thirty-eight million, seven hundred twenty-six thousand, six hundred fifty-six".