11529834030 has 640 divisors, whose sum is σ = 39810355200. Its totient is φ = 2365459200.

The previous prime is 11529833971. The next prime is 11529834047. The reversal of 11529834030 is 3043892511.

11529834030 is a `hidden beast` number, since 11 + 529 + 83 + 40 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 371930115 + ... + 371930145.

It is an arithmetic number, because the mean of its divisors is an integer number (62203680).

Almost surely, 2^11529834030 is an apocalyptic number.

11529834030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11529834030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905177600).

11529834030 is an abundant number, since it is smaller than the sum of its proper divisors (28280521170).

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

11529834030 is a wasteful number, since it uses less digits than its factorization.

11529834030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11529834030 in words is "eleven billion, five hundred twenty-nine million, eight hundred thirty-four thousand, thirty".