11546531324520 has 128 divisors (see below), whose sum is σ = 35042506329600. Its totient is φ = 3043455780096.

The previous prime is 11546531324491. The next prime is 11546531324567. The reversal of 11546531324520 is 2542313564511.

It is a super-3 number, since 3×11546531324520³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261607 + ... + 5311113.

It is an arithmetic number, because the mean of its divisors is an integer number (273769580700).

Almost surely, 2^{11546531324520} is an apocalyptic number.

11546531324520 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 11546531324520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521253164800).

11546531324520 is an abundant number, since it is smaller than the sum of its proper divisors (23495975005080).

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

11546531324520 is a wasteful number, since it uses less digits than its factorization.

11546531324520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049887 (or 3049883 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 11546531324520 in words is "eleven trillion, five hundred forty-six billion, five hundred thirty-one million, three hundred twenty-four thousand, five hundred twenty".