85627287744 has 112 divisors (see below), whose sum is σ = 228150115200. Its totient is φ = 28342020096.

The previous prime is 85627287731. The next prime is 85627287749. The reversal of 85627287744 is 44778272658.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85627287749) 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, 32201487 + ... + 32204145.

It is an arithmetic number, because the mean of its divisors is an integer number (2037054600).

Almost surely, 2^85627287744 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 85627287744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114075057600).

85627287744 is an abundant number, since it is smaller than the sum of its proper divisors (142522827456).

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

85627287744 is a wasteful number, since it uses less digits than its factorization.

85627287744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3780 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 60.

The spelling of 85627287744 in words is "eighty-five billion, six hundred twenty-seven million, two hundred eighty-seven thousand, seven hundred forty-four".