10552532350400 has 42 divisors (see below), whose sum is σ = 25965824918640. Its totient is φ = 4221012939520.

The previous prime is 10552532350363. The next prime is 10552532350417. The reversal of 10552532350400 is 405323525501.

10552532350400 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 2×10552532350400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3297664760 + ... + 3297667959.

Almost surely, 2^{10552532350400} is an apocalyptic number.

10552532350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10552532350400 is an abundant number, since it is smaller than the sum of its proper divisors (15413292568240).

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

10552532350400 is an equidigital number, since it uses as much as digits as its factorization.

10552532350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595332741 (or 6595332726 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

Adding to 10552532350400 its reverse (405323525501), we get a palindrome (10957855875901).

The spelling of 10552532350400 in words is "ten trillion, five hundred fifty-two billion, five hundred thirty-two million, three hundred fifty thousand, four hundred".