85145705568 has 432 divisors, whose sum is σ = 307361972736. Its totient is φ = 21721213440.

The previous prime is 85145705549. The next prime is 85145705581. The reversal of 85145705568 is 86550754158.

85145705568 is a `hidden beast` number, since 8 + 5 + 1 + 4 + 5 + 70 + 5 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77194105 + ... + 77195207.

It is an arithmetic number, because the mean of its divisors is an integer number (711486048).

Almost surely, 2^85145705568 is an apocalyptic number.

85145705568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85145705568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153680986368).

85145705568 is an abundant number, since it is smaller than the sum of its proper divisors (222216267168).

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

85145705568 is a wasteful number, since it uses less digits than its factorization.

85145705568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 85145705568 in words is "eighty-five billion, one hundred forty-five million, seven hundred five thousand, five hundred sixty-eight".