10535424240 has 160 divisors (see below), whose sum is σ = 36117616896. Its totient is φ = 2519009280.

The previous prime is 10535424223. The next prime is 10535424287. The reversal of 10535424240 is 4242453501.

It is a super-2 number, since 2×10535424240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10535424198 and 10535424207.

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, 165387 + ... + 220053.

Almost surely, 2^10535424240 is an apocalyptic number.

10535424240 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 10535424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058808448).

10535424240 is an abundant number, since it is smaller than the sum of its proper divisors (25582192656).

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

10535424240 is a wasteful number, since it uses less digits than its factorization.

10535424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54767 (or 54761 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 10535424240 its reverse (4242453501), we get a palindrome (14777877741).

The spelling of 10535424240 in words is "ten billion, five hundred thirty-five million, four hundred twenty-four thousand, two hundred forty".