10805552352 has 288 divisors, whose sum is σ = 36799805952. Its totient is φ = 2940613632.

The previous prime is 10805552321. The next prime is 10805552357. The reversal of 10805552352 is 25325550801.

10805552352 is a `hidden beast` number, since 1 + 0 + 80 + 5 + 5 + 523 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10805552357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18407803 + ... + 18408389.

It is an arithmetic number, because the mean of its divisors is an integer number (127777104).

Almost surely, 2^10805552352 is an apocalyptic number.

10805552352 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 10805552352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399902976).

10805552352 is an abundant number, since it is smaller than the sum of its proper divisors (25994253600).

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

10805552352 is a wasteful number, since it uses less digits than its factorization.

10805552352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 10805552352 in words is "ten billion, eight hundred five million, five hundred fifty-two thousand, three hundred fifty-two".