11261662105600 has 117 divisors (see below), whose sum is σ = 27928175853097. Its totient is φ = 4504235294720.

The previous prime is 11261662105597. The next prime is 11261662105607. The reversal of 11261662105600 is 650126616211.

The square root of 11261662105600 is 3355840.

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., 4054198358016 + 7207463747584 = 2013504^2 + 2684672^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11261662105600.

It is not an unprimeable number, because it can be changed into a prime (11261662105607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1073863557 + ... + 1073874043.

Almost surely, 2^{11261662105600} is an apocalyptic number.

11261662105600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11261662105600 is the 3355840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11261662105600

11261662105600 is an abundant number, since it is smaller than the sum of its proper divisors (16666513747497).

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

11261662105600 is an frugal number, since it uses more digits than its factorization.

11261662105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21008 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 11261662105600 in words is "eleven trillion, two hundred sixty-one billion, six hundred sixty-two million, one hundred five thousand, six hundred".