20112700830144 has 1792 divisors, whose sum is σ = 67224745082880. Its totient is φ = 5243865661440.

The previous prime is 20112700830121. The next prime is 20112700830181. The reversal of 20112700830144 is 44103800721102.

It is a congruent number.

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, 158367723009 + ... + 158367723135.

It is an arithmetic number, because the mean of its divisors is an integer number (37513808640).

Almost surely, 2^{20112700830144} is an apocalyptic number.

20112700830144 is a gapful number since it is divisible by the number (24) 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 20112700830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33612372541440).

20112700830144 is an abundant number, since it is smaller than the sum of its proper divisors (47112044252736).

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

20112700830144 is a wasteful number, since it uses less digits than its factorization.

20112700830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 20112700830144 in words is "twenty trillion, one hundred twelve billion, seven hundred million, eight hundred thirty thousand, one hundred forty-four".