11610020393104 has 135 divisors (see below), whose sum is σ = 26546258515257. Its totient is φ = 4904618487552.

The previous prime is 11610020393093. The next prime is 11610020393107. The reversal of 11610020393104 is 40139302001611.

The square root of 11610020393104 is 3407348.

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

It can be written as a sum of positive squares in only one way, i.e., 6590413152400 + 5019607240704 = 2567180^2 + 2240448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11610020393107) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6964618479 + ... + 6964620145.

Almost surely, 2^{11610020393104} is an apocalyptic number.

11610020393104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11610020393104 is the 3407348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11610020393104

11610020393104 is an abundant number, since it is smaller than the sum of its proper divisors (14936238122153).

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

11610020393104 is an frugal number, since it uses more digits than its factorization.

11610020393104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

Adding to 11610020393104 its reverse (40139302001611), we get a palindrome (51749322394715).

The spelling of 11610020393104 in words is "eleven trillion, six hundred ten billion, twenty million, three hundred ninety-three thousand, one hundred four".