11529905296 has 80 divisors (see below), whose sum is σ = 27596789248. Its totient is φ = 4544294400.

The previous prime is 11529905273. The next prime is 11529905327. The reversal of 11529905296 is 69250992511.

It is a super-2 number, since 2×11529905296² (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, 379966 + ... + 409186.

Almost surely, 2^11529905296 is an apocalyptic number.

11529905296 is a gapful number since it is divisible by the number (16) 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 11529905296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798394624).

11529905296 is an abundant number, since it is smaller than the sum of its proper divisors (16066883952).

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

11529905296 is a wasteful number, since it uses less digits than its factorization.

11529905296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29520 (or 29514 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 49.

The spelling of 11529905296 in words is "eleven billion, five hundred twenty-nine million, nine hundred five thousand, two hundred ninety-six".