10821244896000 has 5184 divisors, whose sum is σ = 53349732753408. Its totient is φ = 2134978560000.

The previous prime is 10821244895977. The next prime is 10821244896013. The reversal of 10821244896000 is 69844212801.

10821244896000 is a `hidden beast` number, since 10 + 8 + 2 + 1 + 24 + 4 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 204174431974 + ... + 204174432026.

It is an arithmetic number, because the mean of its divisors is an integer number (10291229312).

Almost surely, 2^{10821244896000} is an apocalyptic number.

10821244896000 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 10821244896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26674866376704).

10821244896000 is an abundant number, since it is smaller than the sum of its proper divisors (42528487857408).

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

10821244896000 is an equidigital number, since it uses as much as digits as its factorization.

10821244896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10821244896000 in words is "ten trillion, eight hundred twenty-one billion, two hundred forty-four million, eight hundred ninety-six thousand".