85772686784 has 112 divisors (see below), whose sum is σ = 186196224000. Its totient is φ = 39052108800.

The previous prime is 85772686739. The next prime is 85772686787. The reversal of 85772686784 is 48768627758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85772686787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5609069 + ... + 5624339.

Almost surely, 2^85772686784 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 85772686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93098112000).

85772686784 is an abundant number, since it is smaller than the sum of its proper divisors (100423537216).

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

85772686784 is a wasteful number, since it uses less digits than its factorization.

85772686784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15482 (or 15472 counting only the distinct ones).

The product of its digits is 252887040, while the sum is 68.

The spelling of 85772686784 in words is "eighty-five billion, seven hundred seventy-two million, six hundred eighty-six thousand, seven hundred eighty-four".