11562304435040 has 192 divisors, whose sum is σ = 28938585553920. Its totient is φ = 4356471060480.

The previous prime is 11562304435007. The next prime is 11562304435069. The reversal of 11562304435040 is 4053440326511.

It is a junction number, because it is equal to n+sod(n) for n = 11562304434985 and 11562304435003.

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 31 ways as a sum of consecutive naturals, for example, 229117331 + ... + 229167789.

It is an arithmetic number, because the mean of its divisors is an integer number (150721799760).

Almost surely, 2^{11562304435040} is an apocalyptic number.

11562304435040 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 11562304435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469292776960).

11562304435040 is an abundant number, since it is smaller than the sum of its proper divisors (17376281118880).

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

11562304435040 is a wasteful number, since it uses less digits than its factorization.

11562304435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51445 (or 51437 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 11562304435040 in words is "eleven trillion, five hundred sixty-two billion, three hundred four million, four hundred thirty-five thousand, forty".