10833725952 has 180 divisors, whose sum is σ = 36372419226. Its totient is φ = 3095285760.

The previous prime is 10833725951. The next prime is 10833725971. The reversal of 10833725952 is 25952733801.

10833725952 is a `hidden beast` number, since 10 + 8 + 337 + 259 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10093015296 + 740710656 = 100464^2 + 27216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10833725898 and 10833725907.

It is not an unprimeable number, because it can be changed into a prime (10833725951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201802 + ... + 249782.

Almost surely, 2^10833725952 is an apocalyptic number.

10833725952 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 10833725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186209613).

10833725952 is an abundant number, since it is smaller than the sum of its proper divisors (25538693274).

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

10833725952 is an equidigital number, since it uses as much as digits as its factorization.

10833725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48019 (or 47993 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10833725952 in words is "ten billion, eight hundred thirty-three million, seven hundred twenty-five thousand, nine hundred fifty-two".