10535040120 has 128 divisors (see below), whose sum is σ = 34534874880. Its totient is φ = 2549760000.

The previous prime is 10535040079. The next prime is 10535040151. The reversal of 10535040120 is 2104053501.

It is a super-2 number, since 2×10535040120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839895 + ... + 852345.

It is an arithmetic number, because the mean of its divisors is an integer number (269803710).

Almost surely, 2^10535040120 is an apocalyptic number.

10535040120 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 10535040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267437440).

10535040120 is an abundant number, since it is smaller than the sum of its proper divisors (23999834760).

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

10535040120 is a wasteful number, since it uses less digits than its factorization.

10535040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13117 (or 13113 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 10535040120 its reverse (2104053501), we get a palindrome (12639093621).

The spelling of 10535040120 in words is "ten billion, five hundred thirty-five million, forty thousand, one hundred twenty".