85066656192 has 672 divisors, whose sum is σ = 303551539200. Its totient is φ = 23593006080.

The previous prime is 85066656137. The next prime is 85066656193. The reversal of 85066656192 is 29165666058.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85066656193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197370217 + ... + 197370647.

It is an arithmetic number, because the mean of its divisors is an integer number (451713600).

Almost surely, 2^85066656192 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 85066656192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151775769600).

85066656192 is an abundant number, since it is smaller than the sum of its proper divisors (218484883008).

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

85066656192 is an equidigital number, since it uses as much as digits as its factorization.

85066656192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 85066656192 in words is "eighty-five billion, sixty-six million, six hundred fifty-six thousand, one hundred ninety-two".