85913073971712 has 960 divisors, whose sum is σ = 285550936070400. Its totient is φ = 25462401269760.

The previous prime is 85913073971701. The next prime is 85913073971717. The reversal of 85913073971712 is 21717937031958.

85913073971712 is a `hidden beast` number, since 8 + 591 + 3 + 0 + 7 + 39 + 7 + 1 + 7 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85913073971712.

It is not an unprimeable number, because it can be changed into a prime (85913073971717) 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, 34078965012 + ... + 34078967532.

It is an arithmetic number, because the mean of its divisors is an integer number (297448891740).

Almost surely, 2^{85913073971712} 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 85913073971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142775468035200).

85913073971712 is an abundant number, since it is smaller than the sum of its proper divisors (199637862098688).

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

85913073971712 is a wasteful number, since it uses less digits than its factorization.

85913073971712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 85913073971712 in words is "eighty-five trillion, nine hundred thirteen billion, seventy-three million, nine hundred seventy-one thousand, seven hundred twelve".