85373531280 has 640 divisors, whose sum is σ = 314265600000. Its totient is φ = 21267671040.

The previous prime is 85373531273. The next prime is 85373531303. The reversal of 85373531280 is 8213537358.

85373531280 is a `hidden beast` number, since 8 + 5 + 37 + 3 + 531 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 429012621 + ... + 429012819.

It is an arithmetic number, because the mean of its divisors is an integer number (491040000).

Almost surely, 2^85373531280 is an apocalyptic number.

85373531280 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 85373531280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800000).

85373531280 is an abundant number, since it is smaller than the sum of its proper divisors (228892068720).

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

85373531280 is a wasteful number, since it uses less digits than its factorization.

85373531280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 85373531280 in words is "eighty-five billion, three hundred seventy-three million, five hundred thirty-one thousand, two hundred eighty".