10833422397120 has 560 divisors, whose sum is σ = 38883811000320. Its totient is φ = 2862921148416.

The previous prime is 10833422397089. The next prime is 10833422397163. The reversal of 10833422397120 is 2179322433801.

10833422397120 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 342 + 239 + 71 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4736956617 + ... + 4736958903.

Almost surely, 2^{10833422397120} is an apocalyptic number.

10833422397120 is a gapful number since it is divisible by the number (10) 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 10833422397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19441905500160).

10833422397120 is an abundant number, since it is smaller than the sum of its proper divisors (28050388603200).

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

10833422397120 is a wasteful number, since it uses less digits than its factorization.

10833422397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10833422397120 in words is "ten trillion, eight hundred thirty-three billion, four hundred twenty-two million, three hundred ninety-seven thousand, one hundred twenty".