11364242056160 has 192 divisors, whose sum is σ = 30935730760704. Its totient is φ = 3864311193600.

The previous prime is 11364242056157. The next prime is 11364242056163. The reversal of 11364242056160 is 6165024246311.

11364242056160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11364242056157) and next prime (11364242056163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364242056163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261580040 + ... + 261623480.

It is an arithmetic number, because the mean of its divisors is an integer number (161123597712).

Almost surely, 2^{11364242056160} is an apocalyptic number.

11364242056160 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 11364242056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467865380352).

11364242056160 is an abundant number, since it is smaller than the sum of its proper divisors (19571488704544).

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

11364242056160 is a wasteful number, since it uses less digits than its factorization.

11364242056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45377 (or 45369 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 11364242056160 in words is "eleven trillion, three hundred sixty-four billion, two hundred forty-two million, fifty-six thousand, one hundred sixty".