20683965780480 has 960 divisors, whose sum is σ = 74470476263040. Its totient is φ = 4867057778688.

The previous prime is 20683965780479. The next prime is 20683965780547. The reversal of 20683965780480 is 8408756938602.

20683965780480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31675291834 + ... + 31675292486.

It is an arithmetic number, because the mean of its divisors is an integer number (77573412774).

Almost surely, 2^{20683965780480} is an apocalyptic number.

20683965780480 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 20683965780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37235238131520).

20683965780480 is an abundant number, since it is smaller than the sum of its proper divisors (53786510482560).

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

20683965780480 is a wasteful number, since it uses less digits than its factorization.

20683965780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 20683965780480 in words is "twenty trillion, six hundred eighty-three billion, nine hundred sixty-five million, seven hundred eighty thousand, four hundred eighty".