11708057249280 has 960 divisors, whose sum is σ = 48969054351360. Its totient is φ = 2527308546048.

The previous prime is 11708057249279. The next prime is 11708057249281. The reversal of 11708057249280 is 8294275080711.

11708057249280 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 8 + 0 + 5 + 72 + 492 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11708057249279) and next prime (11708057249281).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11708057249281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293025784 + ... + 293065736.

It is an arithmetic number, because the mean of its divisors is an integer number (51009431616).

Almost surely, 2^{11708057249280} is an apocalyptic number.

11708057249280 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 11708057249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24484527175680).

11708057249280 is an abundant number, since it is smaller than the sum of its proper divisors (37260997102080).

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

11708057249280 is a wasteful number, since it uses less digits than its factorization.

11708057249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40091 (or 40072 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 11708057249280 in words is "eleven trillion, seven hundred eight billion, fifty-seven million, two hundred forty-nine thousand, two hundred eighty".