10823741856000 has 2304 divisors, whose sum is σ = 44447090688000. Its totient is φ = 2581681766400.

The previous prime is 10823741855963. The next prime is 10823741856107. The reversal of 10823741856000 is 65814732801.

10823741856000 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 3 + 74 + 18 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41154911869 + ... + 41154912131.

It is an arithmetic number, because the mean of its divisors is an integer number (19291272000).

Almost surely, 2^{10823741856000} is an apocalyptic number.

10823741856000 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 10823741856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22223545344000).

10823741856000 is an abundant number, since it is smaller than the sum of its proper divisors (33623348832000).

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

10823741856000 is a wasteful number, since it uses less digits than its factorization.

10823741856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10823741856000 in words is "ten trillion, eight hundred twenty-three billion, seven hundred forty-one million, eight hundred fifty-six thousand".