10833728959872 has 768 divisors, whose sum is σ = 39639416256000. Its totient is φ = 2852201963520.

The previous prime is 10833728959831. The next prime is 10833728959873. The reversal of 10833728959872 is 27895982733801.

10833728959872 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 3 + 7 + 28 + 9 + 598 + 7 + 2 = 666.

It is a super-3 number, since 3×10833728959872³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10833728959872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10833728959873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2694285222 + ... + 2694289242.

It is an arithmetic number, because the mean of its divisors is an integer number (51613823250).

Almost surely, 2^{10833728959872} is an apocalyptic number.

10833728959872 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 10833728959872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819708128000).

10833728959872 is an abundant number, since it is smaller than the sum of its proper divisors (28805687296128).

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

10833728959872 is a wasteful number, since it uses less digits than its factorization.

10833728959872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 10833728959872 in words is "ten trillion, eight hundred thirty-three billion, seven hundred twenty-eight million, nine hundred fifty-nine thousand, eight hundred seventy-two".