10435123552 has 96 divisors (see below), whose sum is σ = 24565814784. Its totient is φ = 4266240000.

The previous prime is 10435123547. The next prime is 10435123553. The reversal of 10435123552 is 25532153401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10435123553) 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 15 ways as a sum of consecutive naturals, for example, 2063427 + ... + 2068477.

It is an arithmetic number, because the mean of its divisors is an integer number (255893904).

Almost surely, 2^10435123552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10435123552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282907392).

10435123552 is an abundant number, since it is smaller than the sum of its proper divisors (14130691232).

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

10435123552 is a wasteful number, since it uses less digits than its factorization.

10435123552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 10435123552 its reverse (25532153401), we get a palindrome (35967276953).

The spelling of 10435123552 in words is "ten billion, four hundred thirty-five million, one hundred twenty-three thousand, five hundred fifty-two".