10085333112 has 128 divisors (see below), whose sum is σ = 29785190400. Its totient is φ = 3154859136.

The previous prime is 10085333099. The next prime is 10085333131. The reversal of 10085333112 is 21133358001.

10085333112 is a `hidden beast` number, since 10 + 0 + 8 + 533 + 3 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 244153 + ... + 282455.

It is an arithmetic number, because the mean of its divisors is an integer number (232696800).

Almost surely, 2^10085333112 is an apocalyptic number.

10085333112 is a gapful number since it is divisible by the number (12) 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 10085333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892595200).

10085333112 is an abundant number, since it is smaller than the sum of its proper divisors (19699857288).

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

10085333112 is a wasteful number, since it uses less digits than its factorization.

10085333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38394 (or 38384 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10085333112 in words is "ten billion, eighty-five million, three hundred thirty-three thousand, one hundred twelve".