10885319835312 has 160 divisors (see below), whose sum is σ = 30389764930560. Its totient is φ = 3337591956480.

The previous prime is 10885319835311. The next prime is 10885319835371. The reversal of 10885319835312 is 21353891358801.

It is not an unprimeable number, because it can be changed into a prime (10885319835311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324134362 + ... + 324167942.

It is an arithmetic number, because the mean of its divisors is an integer number (189936030816).

Almost surely, 2^{10885319835312} is an apocalyptic number.

10885319835312 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 10885319835312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194882465280).

10885319835312 is an abundant number, since it is smaller than the sum of its proper divisors (19504445095248).

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

10885319835312 is a wasteful number, since it uses less digits than its factorization.

10885319835312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35411 (or 35405 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 10885319835312 in words is "ten trillion, eight hundred eighty-five billion, three hundred nineteen million, eight hundred thirty-five thousand, three hundred twelve".