85262199456 has 96 divisors (see below), whose sum is σ = 255997203840. Its totient is φ = 24340571136.

The previous prime is 85262199437. The next prime is 85262199457. The reversal of 85262199456 is 65499126258.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 85262199396 and 85262199405.

It is not an unprimeable number, because it can be changed into a prime (85262199457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774270 + ... + 877506.

It is an arithmetic number, because the mean of its divisors is an integer number (2666637540).

Almost surely, 2^85262199456 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 85262199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127998601920).

85262199456 is an abundant number, since it is smaller than the sum of its proper divisors (170735004384).

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

85262199456 is a wasteful number, since it uses less digits than its factorization.

85262199456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104486 (or 104478 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The spelling of 85262199456 in words is "eighty-five billion, two hundred sixty-two million, one hundred ninety-nine thousand, four hundred fifty-six".