10832050944 has 540 divisors, whose sum is σ = 38290207032. Its totient is φ = 3019161600.

The previous prime is 10832050861. The next prime is 10832050949. The reversal of 10832050944 is 44905023801.

10832050944 is a `hidden beast` number, since 10 + 83 + 20 + 509 + 44 = 666.

It is a super-2 number, since 2×10832050944² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10832050899 and 10832050908.

It is not an unprimeable number, because it can be changed into a prime (10832050949) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38548084 + ... + 38548364.

Almost surely, 2^10832050944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10832050944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145103516).

10832050944 is an abundant number, since it is smaller than the sum of its proper divisors (27458156088).

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

10832050944 is a wasteful number, since it uses less digits than its factorization.

10832050944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10832050944 in words is "ten billion, eight hundred thirty-two million, fifty thousand, nine hundred forty-four".