11703824115840 has 384 divisors, whose sum is σ = 42192651271680. Its totient is φ = 2983856578560.

The previous prime is 11703824115799. The next prime is 11703824115847. The reversal of 11703824115840 is 4851142830711.

11703824115840 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 38 + 24 + 11 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11703824115847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283619049 + ... + 283660311.

It is an arithmetic number, because the mean of its divisors is an integer number (109876696020).

Almost surely, 2^{11703824115840} is an apocalyptic number.

11703824115840 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 11703824115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096325635840).

11703824115840 is an abundant number, since it is smaller than the sum of its proper divisors (30488827155840).

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

11703824115840 is a wasteful number, since it uses less digits than its factorization.

11703824115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43452 (or 43437 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11703824115840 in words is "eleven trillion, seven hundred three billion, eight hundred twenty-four million, one hundred fifteen thousand, eight hundred forty".