10021809798144 has 352 divisors, whose sum is σ = 30579918146880. Its totient is φ = 3240787968000.

The previous prime is 10021809798073. The next prime is 10021809798151. The reversal of 10021809798144 is 44189790812001.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123075844 + ... + 123157244.

Almost surely, 2^{10021809798144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021809798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289959073440).

10021809798144 is an abundant number, since it is smaller than the sum of its proper divisors (20558108348736).

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

10021809798144 is an equidigital number, since it uses as much as digits as its factorization.

10021809798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81564 (or 81540 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 10021809798144 in words is "ten trillion, twenty-one billion, eight hundred nine million, seven hundred ninety-eight thousand, one hundred forty-four".