11352629520 has 360 divisors, whose sum is σ = 40591526976. Its totient is φ = 2951085312.

The previous prime is 11352629513. The next prime is 11352629531. The reversal of 11352629520 is 2592625311.

It is a happy number.

11352629520 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 629 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22569589 + ... + 22570091.

Almost surely, 2^11352629520 is an apocalyptic number.

11352629520 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 11352629520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20295763488).

11352629520 is an abundant number, since it is smaller than the sum of its proper divisors (29238897456).

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

11352629520 is an frugal number, since it uses more digits than its factorization.

11352629520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11352629520 in words is "eleven billion, three hundred fifty-two million, six hundred twenty-nine thousand, five hundred twenty".