20026567146768 has 320 divisors, whose sum is σ = 64318388359680. Its totient is φ = 5228415811584.

The previous prime is 20026567146731. The next prime is 20026567146779. The reversal of 20026567146768 is 86764176562002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399284380 + ... + 399334532.

It is an arithmetic number, because the mean of its divisors is an integer number (200994963624).

Almost surely, 2^{20026567146768} is an apocalyptic number.

20026567146768 is a gapful number since it is divisible by the number (28) 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 20026567146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159194179840).

20026567146768 is an abundant number, since it is smaller than the sum of its proper divisors (44291821212912).

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

20026567146768 is a wasteful number, since it uses less digits than its factorization.

20026567146768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51106 (or 51100 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 20026567146768 in words is "twenty trillion, twenty-six billion, five hundred sixty-seven million, one hundred forty-six thousand, seven hundred sixty-eight".