85105390003200 has 3168 divisors, whose sum is σ = 393374105779200. Its totient is φ = 17788342763520.

The previous prime is 85105390003069. The next prime is 85105390003243. The reversal of 85105390003200 is 230009350158.

85105390003200 is a `hidden beast` number, since 8 + 510 + 53 + 90 + 0 + 0 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23993623827 + ... + 23993627373.

Almost surely, 2^{85105390003200} is an apocalyptic number.

85105390003200 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 85105390003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196687052889600).

85105390003200 is an abundant number, since it is smaller than the sum of its proper divisors (308268715776000).

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

85105390003200 is a wasteful number, since it uses less digits than its factorization.

85105390003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 85105390003200 its reverse (230009350158), we get a palindrome (85335399353358).

The spelling of 85105390003200 in words is "eighty-five trillion, one hundred five billion, three hundred ninety million, three thousand, two hundred".