20798957088000 has 7776 divisors, whose sum is σ = 108962065779840. Its totient is φ = 3912833433600.

The previous prime is 20798957087977. The next prime is 20798957088011. The reversal of 20798957088000 is 88075989702.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1094681951991 + ... + 1094681952009.

It is an arithmetic number, because the mean of its divisors is an integer number (14012611340).

Almost surely, 2^{20798957088000} is an apocalyptic number.

20798957088000 is a gapful number since it is divisible by the number (20) 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 20798957088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54481032889920).

20798957088000 is an abundant number, since it is smaller than the sum of its proper divisors (88163108691840).

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

20798957088000 is a wasteful number, since it uses less digits than its factorization.

20798957088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 20798957088000 in words is "twenty trillion, seven hundred ninety-eight billion, nine hundred fifty-seven million, eighty-eight thousand".