10823000601600 has 792 divisors, whose sum is σ = 42372929476800. Its totient is φ = 2617638912000.

The previous prime is 10823000601583. The next prime is 10823000601607. The reversal of 10823000601600 is 610600032801.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-3 number, since 3×10823000601600³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10823000601607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1137940845 + ... + 1137950355.

Almost surely, 2^{10823000601600} is an apocalyptic number.

10823000601600 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 10823000601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186464738400).

10823000601600 is an abundant number, since it is smaller than the sum of its proper divisors (31549928875200).

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

10823000601600 is a wasteful number, since it uses less digits than its factorization.

10823000601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10823000601600 in words is "ten trillion, eight hundred twenty-three billion, six hundred one thousand, six hundred".