20512688261760 has 640 divisors, whose sum is σ = 77649506882640. Its totient is φ = 5142581084160.

The previous prime is 20512688261753. The next prime is 20512688261783. The reversal of 20512688261760 is 6716288621502.

20512688261760 is a `hidden beast` number, since 2 + 0 + 5 + 12 + 6 + 8 + 8 + 2 + 617 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2066762765376 + 18445925496384 = 1437624^2 + 4294872^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20512688261697 and 20512688261706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 825746940 + ... + 825771780.

Almost surely, 2^{20512688261760} is an apocalyptic number.

20512688261760 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 20512688261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38824753441320).

20512688261760 is an abundant number, since it is smaller than the sum of its proper divisors (57136818620880).

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

20512688261760 is a wasteful number, since it uses less digits than its factorization.

20512688261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25826 (or 25805 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20512688261760 in words is "twenty trillion, five hundred twelve billion, six hundred eighty-eight million, two hundred sixty-one thousand, seven hundred sixty".