11235813552 has 240 divisors, whose sum is σ = 33813312000. Its totient is φ = 3472574976.

The previous prime is 11235813551. The next prime is 11235813577. The reversal of 11235813552 is 25531853211.

11235813552 is a `hidden beast` number, since 1 + 1 + 23 + 5 + 81 + 3 + 552 = 666.

11235813552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11235813551) 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 47 ways as a sum of consecutive naturals, for example, 49064574 + ... + 49064802.

It is an arithmetic number, because the mean of its divisors is an integer number (140888800).

Almost surely, 2^11235813552 is an apocalyptic number.

11235813552 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 11235813552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906656000).

11235813552 is an abundant number, since it is smaller than the sum of its proper divisors (22577498448).

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

11235813552 is a wasteful number, since it uses less digits than its factorization.

11235813552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 559 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 11235813552 in words is "eleven billion, two hundred thirty-five million, eight hundred thirteen thousand, five hundred fifty-two".