20617956490000 has 225 divisors, whose sum is σ = 53047082797401. Its totient is φ = 7759148160000.

The previous prime is 20617956489961. The next prime is 20617956490007. The reversal of 20617956490000 is 9465971602.

It is a happy number.

The square root of 20617956490000 is 4540700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10068868229904 + 10549088260096 = 3173148^2 + 3247936^2 .

It is a super-3 number, since 3×20617956490000³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20617956490007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7719188665 + ... + 7719191335.

Almost surely, 2^{20617956490000} is an apocalyptic number.

20617956490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20617956490000 is the 4540700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20617956490000

20617956490000 is an abundant number, since it is smaller than the sum of its proper divisors (32429126307401).

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

20617956490000 is an frugal number, since it uses more digits than its factorization.

20617956490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 20617956490000 in words is "twenty trillion, six hundred seventeen billion, nine hundred fifty-six million, four hundred ninety thousand".