85657243392 has 1512 divisors, whose sum is σ = 343826758800. Its totient is φ = 21069103104.

The previous prime is 85657243367. The next prime is 85657243447. The reversal of 85657243392 is 29334275658.

85657243392 is a `hidden beast` number, since 8 + 5 + 6 + 5 + 7 + 243 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 2953698034 + ... + 2953698062.

It is an arithmetic number, because the mean of its divisors is an integer number (227398650).

Almost surely, 2^85657243392 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 85657243392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171913379400).

85657243392 is an abundant number, since it is smaller than the sum of its proper divisors (258169515408).

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

85657243392 is a wasteful number, since it uses less digits than its factorization.

85657243392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 85657243392 in words is "eighty-five billion, six hundred fifty-seven million, two hundred forty-three thousand, three hundred ninety-two".