20535398560000 has 135 divisors (see below), whose sum is σ = 51226351367961. Its totient is φ = 8213434368000.

The previous prime is 20535398559979. The next prime is 20535398560069. The reversal of 20535398560000 is 6589353502.

The square root of 20535398560000 is 4531600.

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 18103595348224 + 2431803211776 = 4254832^2 + 1559424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1812634336 + ... + 1812645664.

Almost surely, 2^{20535398560000} is an apocalyptic number.

20535398560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20535398560000 is the 4531600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20535398560000

20535398560000 is an abundant number, since it is smaller than the sum of its proper divisors (30690952807961).

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

20535398560000 is an frugal number, since it uses more digits than its factorization.

20535398560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22694 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 20535398560000 in words is "twenty trillion, five hundred thirty-five billion, three hundred ninety-eight million, five hundred sixty thousand".