11688331837740 has 96 divisors (see below), whose sum is σ = 33270010749696. Its totient is φ = 3065223479040.

The previous prime is 11688331837681. The next prime is 11688331837807. The reversal of 11688331837740 is 4773813388611.

It is a super-2 number, since 2×11688331837740² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19628019 + ... + 20214741.

It is an arithmetic number, because the mean of its divisors is an integer number (346562611976).

Almost surely, 2^{11688331837740} is an apocalyptic number.

11688331837740 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 11688331837740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635005374848).

11688331837740 is an abundant number, since it is smaller than the sum of its proper divisors (21581678911956).

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

11688331837740 is a wasteful number, since it uses less digits than its factorization.

11688331837740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592239 (or 592237 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 11688331837740 in words is "eleven trillion, six hundred eighty-eight billion, three hundred thirty-one million, eight hundred thirty-seven thousand, seven hundred forty".