11352364654620 has 768 divisors, whose sum is σ = 37487303884800. Its totient is φ = 2539389726720.

The previous prime is 11352364654591. The next prime is 11352364654633. The reversal of 11352364654620 is 2645646325311.

It is a self number, because there is not a number n which added to its sum of digits gives 11352364654620.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25859600361 + ... + 25859600799.

It is an arithmetic number, because the mean of its divisors is an integer number (48811593600).

Almost surely, 2^{11352364654620} is an apocalyptic number.

11352364654620 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 11352364654620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743651942400).

11352364654620 is an abundant number, since it is smaller than the sum of its proper divisors (26134939230180).

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

11352364654620 is a wasteful number, since it uses less digits than its factorization.

11352364654620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 11352364654620 in words is "eleven trillion, three hundred fifty-two billion, three hundred sixty-four million, six hundred fifty-four thousand, six hundred twenty".