20068519716960 has 1728 divisors, whose sum is σ = 81991710210816. Its totient is φ = 4066860441600.

The previous prime is 20068519716893. The next prime is 20068519717003. The reversal of 20068519716960 is 6961791586002.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 20068519716894 and 20068519716903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13108111395 + ... + 13108112925.

It is an arithmetic number, because the mean of its divisors is an integer number (47448906372).

Almost surely, 2^{20068519716960} is an apocalyptic number.

20068519716960 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 20068519716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40995855105408).

20068519716960 is an abundant number, since it is smaller than the sum of its proper divisors (61923190493856).

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

20068519716960 is a wasteful number, since it uses less digits than its factorization.

20068519716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 20068519716960 in words is "twenty trillion, sixty-eight billion, five hundred nineteen million, seven hundred sixteen thousand, nine hundred sixty".