10552552424000 has 448 divisors, whose sum is σ = 28163192279040. Its totient is φ = 3904164403200.

The previous prime is 10552552423957. The next prime is 10552552424017. The reversal of 10552552424000 is 42425525501.

It is a super-2 number, since 2×10552552424000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3336246419 + ... + 3336249581.

It is an arithmetic number, because the mean of its divisors is an integer number (62864268480).

Almost surely, 2^{10552552424000} is an apocalyptic number.

10552552424000 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 10552552424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081596139520).

10552552424000 is an abundant number, since it is smaller than the sum of its proper divisors (17610639855040).

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

10552552424000 is a wasteful number, since it uses less digits than its factorization.

10552552424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

Adding to 10552552424000 its reverse (42425525501), we get a palindrome (10594977949501).

The spelling of 10552552424000 in words is "ten trillion, five hundred fifty-two billion, five hundred fifty-two million, four hundred twenty-four thousand".