11787870302208 has 4992 divisors, whose sum is σ = 54405895864320. Its totient is φ = 2354388664320.

The previous prime is 11787870302203. The next prime is 11787870302237. The reversal of 11787870302208 is 80220307878711.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11787870302203) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 274136518635 + ... + 274136518677.

It is an arithmetic number, because the mean of its divisors is an integer number (10898616960).

Almost surely, 2^{11787870302208} is an apocalyptic number.

11787870302208 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 11787870302208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27202947932160).

11787870302208 is an abundant number, since it is smaller than the sum of its proper divisors (42618025562112).

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

11787870302208 is a wasteful number, since it uses less digits than its factorization.

11787870302208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 11787870302208 in words is "eleven trillion, seven hundred eighty-seven billion, eight hundred seventy million, three hundred two thousand, two hundred eight".