20575785890916 has 189 divisors, whose sum is σ = 54420141757891. Its totient is φ = 6803972134704.

The previous prime is 20575785890897. The next prime is 20575785890917. The reversal of 20575785890916 is 61909858757502.

The square root of 20575785890916 is 4536054.

It is a perfect power (a square), and thus also a powerful number.

20575785890916 is a `hidden beast` number, since 20 + 5 + 7 + 5 + 7 + 8 + 589 + 0 + 9 + 16 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20575785890917) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 40906134721 + ... + 40906135223.

Almost surely, 2^{20575785890916} is an apocalyptic number.

20575785890916 is the 4536054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20575785890916

20575785890916 is an abundant number, since it is smaller than the sum of its proper divisors (33844355866975).

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

20575785890916 is an frugal number, since it uses more digits than its factorization.

20575785890916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 72.

The spelling of 20575785890916 in words is "twenty trillion, five hundred seventy-five billion, seven hundred eighty-five million, eight hundred ninety thousand, nine hundred sixteen".