10552785600 has 336 divisors, whose sum is σ = 39895605248. Its totient is φ = 2392104960.

The previous prime is 10552785583. The next prime is 10552785601. The reversal of 10552785600 is 658725501.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10552785600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10552785601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4265964 + ... + 4268436.

Almost surely, 2^10552785600 is an apocalyptic number.

10552785600 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 10552785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947802624).

10552785600 is an abundant number, since it is smaller than the sum of its proper divisors (29342819648).

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

10552785600 is a wasteful number, since it uses less digits than its factorization.

10552785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 10552785600 in words is "ten billion, five hundred fifty-two million, seven hundred eighty-five thousand, six hundred".