11352934794240 has 2376 divisors, whose sum is σ = 46306895982984. Its totient is φ = 2567149977600.

The previous prime is 11352934794217. The next prime is 11352934794343. The reversal of 11352934794240 is 4249743925311.

11352934794240 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 93 + 479 + 42 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7062667674624 + 4290267119616 = 2657568^2 + 2071296^2 .

It is a super-2 number, since 2×11352934794240² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 276900848620 + ... + 276900848660.

Almost surely, 2^{11352934794240} is an apocalyptic number.

11352934794240 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 11352934794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23153447991492).

11352934794240 is an abundant number, since it is smaller than the sum of its proper divisors (34953961188744).

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

11352934794240 is a wasteful number, since it uses less digits than its factorization.

11352934794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 11352934794240 in words is "eleven trillion, three hundred fifty-two billion, nine hundred thirty-four million, seven hundred ninety-four thousand, two hundred forty".