10530135000 has 640 divisors, whose sum is σ = 45615398400. Its totient is φ = 2185920000.

The previous prime is 10530134999. The next prime is 10530135037. The reversal of 10530135000 is 53103501.

It is a happy number.

10530135000 is a `hidden beast` number, since 1 + 0 + 530 + 135 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10530135000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10394494 + ... + 10395506.

It is an arithmetic number, because the mean of its divisors is an integer number (71274060).

Almost surely, 2^10530135000 is an apocalyptic number.

10530135000 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 10530135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22807699200).

10530135000 is an abundant number, since it is smaller than the sum of its proper divisors (35085263400).

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

10530135000 is a wasteful number, since it uses less digits than its factorization.

10530135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 10530135000 its reverse (53103501), we get a palindrome (10583238501).

It can be divided in two parts, 10530 and 135000, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 10530135000 in words is "ten billion, five hundred thirty million, one hundred thirty-five thousand".