11701332159840 has 288 divisors, whose sum is σ = 42041730931200. Its totient is φ = 2955470976000.

The previous prime is 11701332159817. The next prime is 11701332159863. The reversal of 11701332159840 is 4895123310711.

11701332159840 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 1 + 33 + 21 + 598 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 3420721²-1.

It is an interprime number because it is at equal distance from previous prime (11701332159817) and next prime (11701332159863).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 129942351 + ... + 130032369.

It is an arithmetic number, because the mean of its divisors is an integer number (145978232400).

Almost surely, 2^{11701332159840} is an apocalyptic number.

11701332159840 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 11701332159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21020865465600).

11701332159840 is an abundant number, since it is smaller than the sum of its proper divisors (30340398771360).

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

11701332159840 is a wasteful number, since it uses less digits than its factorization.

11701332159840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94810 (or 94799 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11701332159840 in words is "eleven trillion, seven hundred one billion, three hundred thirty-two million, one hundred fifty-nine thousand, eight hundred forty".