11553790752 has 216 divisors, whose sum is σ = 39637228176. Its totient is φ = 3300974208.

The previous prime is 11553790751. The next prime is 11553790757. The reversal of 11553790752 is 25709735511.

11553790752 is a `hidden beast` number, since 1 + 1 + 553 + 7 + 90 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 11553790698 and 11553790707.

It is not an unprimeable number, because it can be changed into a prime (11553790751) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 365863 + ... + 396185.

It is an arithmetic number, because the mean of its divisors is an integer number (183505686).

Almost surely, 2^11553790752 is an apocalyptic number.

11553790752 is a gapful number since it is divisible by the number (12) 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 11553790752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19818614088).

11553790752 is an abundant number, since it is smaller than the sum of its proper divisors (28083437424).

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

11553790752 is an equidigital number, since it uses as much as digits as its factorization.

11553790752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30362 (or 30335 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The spelling of 11553790752 in words is "eleven billion, five hundred fifty-three million, seven hundred ninety thousand, seven hundred fifty-two".