10835350944 has 192 divisors, whose sum is σ = 32082946560. Its totient is φ = 3173760000.

The previous prime is 10835350943. The next prime is 10835350957. The reversal of 10835350944 is 44905353801.

It is a super-2 number, since 2×10835350944² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10835350896 and 10835350905.

It is not an unprimeable number, because it can be changed into a prime (10835350943) 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, 3799119 + ... + 3801969.

It is an arithmetic number, because the mean of its divisors is an integer number (167098680).

Almost surely, 2^10835350944 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 10835350944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16041473280).

10835350944 is an abundant number, since it is smaller than the sum of its proper divisors (21247595616).

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

10835350944 is a wasteful number, since it uses less digits than its factorization.

10835350944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 10835350944 in words is "ten billion, eight hundred thirty-five million, three hundred fifty thousand, nine hundred forty-four".