11701324800000 has 2688 divisors, whose sum is σ = 50374500825600. Its totient is φ = 2687385600000.

The previous prime is 11701324799831. The next prime is 11701324800017. The reversal of 11701324800000 is 842310711.

11701324800000 is a `hidden beast` number, since 1 + 170 + 13 + 2 + 480 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 615859199991 + ... + 615859200009.

It is an arithmetic number, because the mean of its divisors is an integer number (18740513700).

Almost surely, 2^{11701324800000} is an apocalyptic number.

11701324800000 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 11701324800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25187250412800).

11701324800000 is an abundant number, since it is smaller than the sum of its proper divisors (38673176025600).

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

11701324800000 is an frugal number, since it uses more digits than its factorization.

11701324800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11701324800000 in words is "eleven trillion, seven hundred one billion, three hundred twenty-four million, eight hundred thousand".