85649102952 has 64 divisors (see below), whose sum is σ = 244843691520. Its totient is φ = 24457975488.

The previous prime is 85649102939. The next prime is 85649102953. The reversal of 85649102952 is 25920194658.

It is a super-2 number, since 2×85649102952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85649102895 and 85649102904.

It is not an unprimeable number, because it can be changed into a prime (85649102953) 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, 177123 + ... + 450189.

It is an arithmetic number, because the mean of its divisors is an integer number (3825682680).

Almost surely, 2^85649102952 is an apocalyptic number.

It is an amenable number.

85649102952 is an abundant number, since it is smaller than the sum of its proper divisors (159194588568).

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

85649102952 is a wasteful number, since it uses less digits than its factorization.

85649102952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274950 (or 274946 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 85649102952 in words is "eighty-five billion, six hundred forty-nine million, one hundred two thousand, nine hundred fifty-two".