85337180742 has 64 divisors (see below), whose sum is σ = 192378175488. Its totient is φ = 25001892000.

The previous prime is 85337180729. The next prime is 85337180777. The reversal of 85337180742 is 24708173358.

It is a junction number, because it is equal to n+sod(n) for n = 85337180691 and 85337180700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204817 + ... + 2243187.

It is an arithmetic number, because the mean of its divisors is an integer number (3005908992).

Almost surely, 2^85337180742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85337180742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96189087744).

85337180742 is an abundant number, since it is smaller than the sum of its proper divisors (107040994746).

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

85337180742 is a wasteful number, since it uses less digits than its factorization.

85337180742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39505.

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 85337180742 in words is "eighty-five billion, three hundred thirty-seven million, one hundred eighty thousand, seven hundred forty-two".