20262691297728 has 672 divisors, whose sum is σ = 68296566723840. Its totient is φ = 5902125834240.

The previous prime is 20262691297697. The next prime is 20262691297729. The reversal of 20262691297728 is 82779219626202.

20262691297728 is a `hidden beast` number, since 2 + 0 + 262 + 69 + 1 + 297 + 7 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20262691297729) 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 95 ways as a sum of consecutive naturals, for example, 525342828 + ... + 525381396.

It is an arithmetic number, because the mean of its divisors is an integer number (101631795720).

Almost surely, 2^{20262691297728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20262691297728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34148283361920).

20262691297728 is an abundant number, since it is smaller than the sum of its proper divisors (48033875426112).

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

20262691297728 is a wasteful number, since it uses less digits than its factorization.

20262691297728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38727 (or 38705 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 20262691297728 in words is "twenty trillion, two hundred sixty-two billion, six hundred ninety-one million, two hundred ninety-seven thousand, seven hundred twenty-eight".