11739929886720 has 720 divisors, whose sum is σ = 46620229114368. Its totient is φ = 2677116764160.

The previous prime is 11739929886719. The next prime is 11739929886721. The reversal of 11739929886720 is 2768892993711.

11739929886720 is a `hidden beast` number, since 1 + 1 + 7 + 399 + 2 + 98 + 86 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11739929886719) and next prime (11739929886721).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11739929886721) 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 47 ways as a sum of consecutive naturals, for example, 2410165885 + ... + 2410170755.

Almost surely, 2^{11739929886720} is an apocalyptic number.

11739929886720 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 11739929886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23310114557184).

11739929886720 is an abundant number, since it is smaller than the sum of its proper divisors (34880299227648).

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

11739929886720 is an equidigital number, since it uses as much as digits as its factorization.

11739929886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5355 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 11739929886720 in words is "eleven trillion, seven hundred thirty-nine billion, nine hundred twenty-nine million, eight hundred eighty-six thousand, seven hundred twenty".