11032852561920 has 1008 divisors, whose sum is σ = 45385132161600. Its totient is φ = 2521030459392.

The previous prime is 11032852561849. The next prime is 11032852561921. The reversal of 11032852561920 is 2916525823011.

11032852561920 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 2 + 8 + 5 + 2 + 5 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11032852561921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3344300431 + ... + 3344303729.

It is an arithmetic number, because the mean of its divisors is an integer number (45024932700).

Almost surely, 2^{11032852561920} is an apocalyptic number.

11032852561920 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 11032852561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22692566080800).

11032852561920 is an abundant number, since it is smaller than the sum of its proper divisors (34352279599680).

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

11032852561920 is an frugal number, since it uses more digits than its factorization.

11032852561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11032852561920 in words is "eleven trillion, thirty-two billion, eight hundred fifty-two million, five hundred sixty-one thousand, nine hundred twenty".