600085288140 has 384 divisors, whose sum is σ = 1944979513344. Its totient is φ = 137161728000.

The previous prime is 600085288111. The next prime is 600085288219. The reversal of 600085288140 is 41882580006.

It is a junction number, because it is equal to n+sod(n) for n = 600085288092 and 600085288101.

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, 60469219 + ... + 60479141.

It is an arithmetic number, because the mean of its divisors is an integer number (5065050816).

Almost surely, 2^600085288140 is an apocalyptic number.

600085288140 is a gapful number since it is divisible by the number (60) 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 600085288140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972489756672).

600085288140 is an abundant number, since it is smaller than the sum of its proper divisors (1344894225204).

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

600085288140 is a wasteful number, since it uses less digits than its factorization.

600085288140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 600085288140 in words is "six hundred billion, eighty-five million, two hundred eighty-eight thousand, one hundred forty".