85392755712 has 440 divisors, whose sum is σ = 280306387152. Its totient is φ = 25679462400.

The previous prime is 85392755671. The next prime is 85392755719. The reversal of 85392755712 is 21755729358.

85392755712 is a `hidden beast` number, since 8 + 53 + 9 + 27 + 557 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85392755719) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157842162 + ... + 157842702.

Almost surely, 2^85392755712 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 85392755712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140153193576).

85392755712 is an abundant number, since it is smaller than the sum of its proper divisors (194913631440).

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

85392755712 is a wasteful number, since it uses less digits than its factorization.

85392755712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 730 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 85392755712 in words is "eighty-five billion, three hundred ninety-two million, seven hundred fifty-five thousand, seven hundred twelve".