11355664320 has 1344 divisors, whose sum is σ = 54618209280. Its totient is φ = 2156544000.

The previous prime is 11355664297. The next prime is 11355664321. The reversal of 11355664320 is 2346655311.

11355664320 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 6 + 643 + 2 + 0 = 666.

11355664320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×11355664320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355664321) 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 191 ways as a sum of consecutive naturals, for example, 112432270 + ... + 112432370.

Almost surely, 2^11355664320 is an apocalyptic number.

11355664320 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 11355664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27309104640).

11355664320 is an abundant number, since it is smaller than the sum of its proper divisors (43262544960).

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

11355664320 is a wasteful number, since it uses less digits than its factorization.

11355664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Subtracting from 11355664320 its reverse (2346655311), we obtain a palindrome (9009009009).

The spelling of 11355664320 in words is "eleven billion, three hundred fifty-five million, six hundred sixty-four thousand, three hundred twenty".