10535015120 has 160 divisors (see below), whose sum is σ = 29526086400. Its totient is φ = 3414970368.

The previous prime is 10535015111. The next prime is 10535015131. The reversal of 10535015120 is 2151053501.

It is a happy number.

It is a super-2 number, since 2×10535015120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9330716 + ... + 9331844.

It is an arithmetic number, because the mean of its divisors is an integer number (184538040).

Almost surely, 2^10535015120 is an apocalyptic number.

10535015120 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 10535015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14763043200).

10535015120 is an abundant number, since it is smaller than the sum of its proper divisors (18991071280).

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

10535015120 is a wasteful number, since it uses less digits than its factorization.

10535015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 10535015120 its reverse (2151053501), we get a palindrome (12686068621).

The spelling of 10535015120 in words is "ten billion, five hundred thirty-five million, fifteen thousand, one hundred twenty".