10552263120 has 640 divisors, whose sum is σ = 44769991680. Its totient is φ = 2229534720.

The previous prime is 10552263107. The next prime is 10552263131. The reversal of 10552263120 is 2136225501.

It is a happy number.

10552263120 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 2 + 631 + 20 = 666.

10552263120 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 2×10552263120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 15679104 + ... + 15679776.

It is an arithmetic number, because the mean of its divisors is an integer number (69953112).

Almost surely, 2^10552263120 is an apocalyptic number.

10552263120 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 10552263120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22384995840).

10552263120 is an abundant number, since it is smaller than the sum of its proper divisors (34217728560).

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

10552263120 is a wasteful number, since it uses less digits than its factorization.

10552263120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10552263120 its reverse (2136225501), we get a palindrome (12688488621).

The spelling of 10552263120 in words is "ten billion, five hundred fifty-two million, two hundred sixty-three thousand, one hundred twenty".