85758139111632 has 480 divisors, whose sum is σ = 256617742913280. Its totient is φ = 24606234132480.

The previous prime is 85758139111583. The next prime is 85758139111637. The reversal of 85758139111632 is 23611193185758.

85758139111632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85758139111637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13256781294 + ... + 13256787762.

It is an arithmetic number, because the mean of its divisors is an integer number (534620297736).

Almost surely, 2^{85758139111632} is an apocalyptic number.

85758139111632 is a gapful number since it is divisible by the number (82) 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 85758139111632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128308871456640).

85758139111632 is an abundant number, since it is smaller than the sum of its proper divisors (170859603801648).

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

85758139111632 is a wasteful number, since it uses less digits than its factorization.

85758139111632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303 (or 8284 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 60.

The spelling of 85758139111632 in words is "eighty-five trillion, seven hundred fifty-eight billion, one hundred thirty-nine million, one hundred eleven thousand, six hundred thirty-two".