85706478816 has 192 divisors, whose sum is σ = 261595837440. Its totient is φ = 24064634880.

The previous prime is 85706478787. The next prime is 85706478829. The reversal of 85706478816 is 61887460758.

It is a happy number.

It is a super-2 number, since 2×85706478816² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85706478816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9983646 + ... + 9992226.

It is an arithmetic number, because the mean of its divisors is an integer number (1362478320).

Almost surely, 2^85706478816 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 85706478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130797918720).

85706478816 is an abundant number, since it is smaller than the sum of its proper divisors (175889358624).

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

85706478816 is a wasteful number, since it uses less digits than its factorization.

85706478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 85706478816 in words is "eighty-five billion, seven hundred six million, four hundred seventy-eight thousand, eight hundred sixteen".