85477103712 has 768 divisors, whose sum is σ = 341736192000. Its totient is φ = 20483850240.

The previous prime is 85477103711. The next prime is 85477103731. The reversal of 85477103712 is 21730177458.

85477103712 is a `hidden beast` number, since 8 + 5 + 477 + 103 + 71 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85477103711) 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 127 ways as a sum of consecutive naturals, for example, 42377328 + ... + 42379344.

It is an arithmetic number, because the mean of its divisors is an integer number (444969000).

Almost surely, 2^85477103712 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 85477103712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170868096000).

85477103712 is an abundant number, since it is smaller than the sum of its proper divisors (256259088288).

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

85477103712 is a wasteful number, since it uses less digits than its factorization.

85477103712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 85477103712 in words is "eighty-five billion, four hundred seventy-seven million, one hundred three thousand, seven hundred twelve".