85238060544 has 720 divisors, whose sum is σ = 313284011040. Its totient is φ = 22109552640.

The previous prime is 85238060527. The next prime is 85238060563. The reversal of 85238060544 is 44506083258.

85238060544 is a `hidden beast` number, since 8 + 5 + 2 + 38 + 0 + 605 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85238060544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208405812 + ... + 208406220.

It is an arithmetic number, because the mean of its divisors is an integer number (435116682).

Almost surely, 2^85238060544 is an apocalyptic number.

85238060544 is a gapful number since it is divisible by the number (84) 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 85238060544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156642005520).

85238060544 is an abundant number, since it is smaller than the sum of its proper divisors (228045950496).

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

85238060544 is a wasteful number, since it uses less digits than its factorization.

85238060544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 85238060544 in words is "eighty-five billion, two hundred thirty-eight million, sixty thousand, five hundred forty-four".