11536842240000 has 2340 divisors, whose sum is σ = 52901789414760. Its totient is φ = 2394685440000.

The previous prime is 11536842239969. The next prime is 11536842240103. The reversal of 11536842240000 is 4224863511.

It is a happy number.

11536842240000 is a `hidden beast` number, since 1 + 1 + 536 + 84 + 2 + 2 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12418559536 + ... + 12418560464.

It is an arithmetic number, because the mean of its divisors is an integer number (22607602314).

Almost surely, 2^{11536842240000} is an apocalyptic number.

11536842240000 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 11536842240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26450894707380).

11536842240000 is an abundant number, since it is smaller than the sum of its proper divisors (41364947174760).

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

11536842240000 is an equidigital number, since it uses as much as digits as its factorization.

11536842240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11536842240000 in words is "eleven trillion, five hundred thirty-six billion, eight hundred forty-two million, two hundred forty thousand".