85966126848 has 1080 divisors, whose sum is σ = 323395915920. Its totient is φ = 22574039040.

The previous prime is 85966126819. The next prime is 85966126853. The reversal of 85966126848 is 84862166958.

85966126848 is a `hidden beast` number, since 8 + 5 + 9 + 6 + 612 + 6 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1177618140 + ... + 1177618212.

Almost surely, 2^85966126848 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 85966126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161697957960).

85966126848 is an abundant number, since it is smaller than the sum of its proper divisors (237429789072).

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

85966126848 is a wasteful number, since it uses less digits than its factorization.

85966126848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 85966126848 in words is "eighty-five billion, nine hundred sixty-six million, one hundred twenty-six thousand, eight hundred forty-eight".