11352724727328 has 432 divisors, whose sum is σ = 34142220403200. Its totient is φ = 3578267047680.

The previous prime is 11352724727293. The next prime is 11352724727387. The reversal of 11352724727328 is 82372742725311.

11352724727328 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 272 + 47 + 2 + 7 + 328 = 666.

It is a super-2 number, since 2×11352724727328² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18952795573 + ... + 18952796171.

It is an arithmetic number, because the mean of its divisors is an integer number (79032917600).

Almost surely, 2^{11352724727328} is an apocalyptic number.

11352724727328 is a gapful number since it is divisible by the number (18) 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 11352724727328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17071110201600).

11352724727328 is an abundant number, since it is smaller than the sum of its proper divisors (22789495675872).

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

11352724727328 is an frugal number, since it uses more digits than its factorization.

11352724727328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 682 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 11352724727328 in words is "eleven trillion, three hundred fifty-two billion, seven hundred twenty-four million, seven hundred twenty-seven thousand, three hundred twenty-eight".