10534435120 has 80 divisors (see below), whose sum is σ = 27057553920. Its totient is φ = 3782188800.

The previous prime is 10534435063. The next prime is 10534435127. The reversal of 10534435120 is 2153443501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10534435120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10534435127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6246 + ... + 145285.

It is an arithmetic number, because the mean of its divisors is an integer number (338219424).

Almost surely, 2^10534435120 is an apocalyptic number.

10534435120 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 10534435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13528776960).

10534435120 is an abundant number, since it is smaller than the sum of its proper divisors (16523118800).

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

10534435120 is a wasteful number, since it uses less digits than its factorization.

10534435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151634 (or 151628 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 10534435120 its reverse (2153443501), we get a palindrome (12687878621).

The spelling of 10534435120 in words is "ten billion, five hundred thirty-four million, four hundred thirty-five thousand, one hundred twenty".