11361351824560 has 80 divisors (see below), whose sum is σ = 26601120276480. Its totient is φ = 4512569644800.

The previous prime is 11361351824483. The next prime is 11361351824569. The reversal of 11361351824560 is 6542815316311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11361351824560.

It is not an unprimeable number, because it can be changed into a prime (11361351824569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29075761 + ... + 29463919.

It is an arithmetic number, because the mean of its divisors is an integer number (332514003456).

Almost surely, 2^{11361351824560} is an apocalyptic number.

11361351824560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11361351824560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300560138240).

11361351824560 is an abundant number, since it is smaller than the sum of its proper divisors (15239768451920).

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

11361351824560 is a wasteful number, since it uses less digits than its factorization.

11361351824560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390746 (or 390740 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 11361351824560 in words is "eleven trillion, three hundred sixty-one billion, three hundred fifty-one million, eight hundred twenty-four thousand, five hundred sixty".