20980661625300 has 576 divisors, whose sum is σ = 72374807715840. Its totient is φ = 4645465344000.

The previous prime is 20980661625251. The next prime is 20980661625307. The reversal of 20980661625300 is 352616608902.

It is a self number, because there is not a number n which added to its sum of digits gives 20980661625300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20980661625307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121660135 + ... + 121832465.

It is an arithmetic number, because the mean of its divisors is an integer number (125650707840).

Almost surely, 2^{20980661625300} is an apocalyptic number.

20980661625300 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 20980661625300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36187403857920).

20980661625300 is an abundant number, since it is smaller than the sum of its proper divisors (51394146090540).

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

20980661625300 is a wasteful number, since it uses less digits than its factorization.

20980661625300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172464 (or 172457 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 20980661625300 in words is "twenty trillion, nine hundred eighty billion, six hundred sixty-one million, six hundred twenty-five thousand, three hundred".