11385364320 has 576 divisors, whose sum is σ = 45753361920. Its totient is φ = 2637296640.

The previous prime is 11385364307. The next prime is 11385364349. The reversal of 11385364320 is 2346358311.

11385364320 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 5 + 3 + 643 + 2 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 12022087 + ... + 12023033.

It is an arithmetic number, because the mean of its divisors is an integer number (79432920).

Almost surely, 2^11385364320 is an apocalyptic number.

11385364320 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 11385364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22876680960).

11385364320 is an abundant number, since it is smaller than the sum of its proper divisors (34367997600).

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

11385364320 is a wasteful number, since it uses less digits than its factorization.

11385364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11385364320 in words is "eleven billion, three hundred eighty-five million, three hundred sixty-four thousand, three hundred twenty".