85438563280 has 160 divisors (see below), whose sum is σ = 240554603520. Its totient is φ = 27549696000.

The previous prime is 85438563257. The next prime is 85438563341. The reversal of 85438563280 is 8236583458.

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, 17980905 + ... + 17985655.

It is an arithmetic number, because the mean of its divisors is an integer number (1503466272).

Almost surely, 2^85438563280 is an apocalyptic number.

85438563280 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 85438563280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120277301760).

85438563280 is an abundant number, since it is smaller than the sum of its proper divisors (155116040240).

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

85438563280 is a wasteful number, since it uses less digits than its factorization.

85438563280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 85438563280 in words is "eighty-five billion, four hundred thirty-eight million, five hundred sixty-three thousand, two hundred eighty".