10535144000 has 112 divisors (see below), whose sum is σ = 26646347520. Its totient is φ = 4124249600.

The previous prime is 10535143999. The next prime is 10535144021. The reversal of 10535144000 is 44153501.

It is a super-2 number, since 2×10535144000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361991 + ... + 390009.

Almost surely, 2^10535144000 is an apocalyptic number.

10535144000 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 10535144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323173760).

10535144000 is an abundant number, since it is smaller than the sum of its proper divisors (16111203520).

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

10535144000 is an equidigital number, since it uses as much as digits as its factorization.

10535144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28093 (or 28073 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 10535144000 its reverse (44153501), we get a palindrome (10579297501).

The spelling of 10535144000 in words is "ten billion, five hundred thirty-five million, one hundred forty-four thousand".