10823046976560 has 1280 divisors, whose sum is σ = 43231792988160. Its totient is φ = 2179633397760.

The previous prime is 10823046976541. The next prime is 10823046976627. The reversal of 10823046976560 is 6567964032801.

It is a self number, because there is not a number n which added to its sum of digits gives 10823046976560.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6492528847 + ... + 6492530513.

It is an arithmetic number, because the mean of its divisors is an integer number (33774838272).

It is a 1-persistent number, because it is pandigital, but 2⋅10823046976560 = 21646093953120 is not.

Almost surely, 2^{10823046976560} is an apocalyptic number.

10823046976560 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 10823046976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21615896494080).

10823046976560 is an abundant number, since it is smaller than the sum of its proper divisors (32408746011600).

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

10823046976560 is a wasteful number, since it uses less digits than its factorization.

10823046976560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 10823046976560 in words is "ten trillion, eight hundred twenty-three billion, forty-six million, nine hundred seventy-six thousand, five hundred sixty".