20948753018880 has 416 divisors, whose sum is σ = 75394972960320. Its totient is φ = 5586322194432.

The previous prime is 20948753018861. The next prime is 20948753018923. The reversal of 20948753018880 is 8881035784902.

20948753018880 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 8 + 7 + 530 + 18 + 8 + 80 = 666.

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, 44555904 + ... + 45023616.

It is an arithmetic number, because the mean of its divisors is an integer number (181237915770).

Almost surely, 2^{20948753018880} is an apocalyptic number.

20948753018880 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 20948753018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37697486480160).

20948753018880 is an abundant number, since it is smaller than the sum of its proper divisors (54446219941440).

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

20948753018880 is an frugal number, since it uses more digits than its factorization.

20948753018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467763 (or 467723 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 20948753018880 in words is "twenty trillion, nine hundred forty-eight billion, seven hundred fifty-three million, eighteen thousand, eight hundred eighty".