85010775146712 has 160 divisors (see below), whose sum is σ = 239860170950400. Its totient is φ = 28128572568000.

The previous prime is 85010775146707. The next prime is 85010775146749. The reversal of 85010775146712 is 21764157701058.

It is a happy number.

85010775146712 is a `hidden beast` number, since 8 + 5 + 0 + 107 + 7 + 514 + 6 + 7 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 589989637 + ... + 590133707.

It is an arithmetic number, because the mean of its divisors is an integer number (1499126068440).

Almost surely, 2^{85010775146712} 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 85010775146712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119930085475200).

85010775146712 is an abundant number, since it is smaller than the sum of its proper divisors (154849395803688).

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

85010775146712 is a wasteful number, since it uses less digits than its factorization.

85010775146712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150779 (or 150766 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 85010775146712 in words is "eighty-five trillion, ten billion, seven hundred seventy-five million, one hundred forty-six thousand, seven hundred twelve".