20581210748688 has 320 divisors, whose sum is σ = 58227173222400. Its totient is φ = 6242019840000.

The previous prime is 20581210748633. The next prime is 20581210748699. The reversal of 20581210748688 is 88684701218502.

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, 1861031703 + ... + 1861042761.

It is an arithmetic number, because the mean of its divisors is an integer number (181959916320).

Almost surely, 2^{20581210748688} 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 20581210748688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29113586611200).

20581210748688 is an abundant number, since it is smaller than the sum of its proper divisors (37645962473712).

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

20581210748688 is a wasteful number, since it uses less digits than its factorization.

20581210748688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11902 (or 11896 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 60.

The spelling of 20581210748688 in words is "twenty trillion, five hundred eighty-one billion, two hundred ten million, seven hundred forty-eight thousand, six hundred eighty-eight".