10552450341200 has 120 divisors (see below), whose sum is σ = 25770357067776. Its totient is φ = 4151383488000.

The previous prime is 10552450341193. The next prime is 10552450341203. The reversal of 10552450341200 is 214305425501.

10552450341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10552450341200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552450341203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473129249 + ... + 473151551.

Almost surely, 2^{10552450341200} is an apocalyptic number.

10552450341200 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 10552450341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12885178533888).

10552450341200 is an abundant number, since it is smaller than the sum of its proper divisors (15217906726576).

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

10552450341200 is a wasteful number, since it uses less digits than its factorization.

10552450341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41773 (or 41762 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 10552450341200 its reverse (214305425501), we get a palindrome (10766755766701).

The spelling of 10552450341200 in words is "ten trillion, five hundred fifty-two billion, four hundred fifty million, three hundred forty-one thousand, two hundred".