85748105920 has 112 divisors (see below), whose sum is σ = 205948044288. Its totient is φ = 34004864000.

The previous prime is 85748105903. The next prime is 85748105921. The reversal of 85748105920 is 2950184758.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85748105921) 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, 18230289 + ... + 18234991.

It is an arithmetic number, because the mean of its divisors is an integer number (1838821824).

Almost surely, 2^85748105920 is an apocalyptic number.

85748105920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85748105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102974022144).

85748105920 is an abundant number, since it is smaller than the sum of its proper divisors (120199938368).

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

85748105920 is a wasteful number, since it uses less digits than its factorization.

85748105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 85748105920 in words is "eighty-five billion, seven hundred forty-eight million, one hundred five thousand, nine hundred twenty".