11688838847540 has 48 divisors (see below), whose sum is σ = 24643115384832. Its totient is φ = 4657145880576.

The previous prime is 11688838847527. The next prime is 11688838847551. The reversal of 11688838847540 is 4574883888611.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215765537 + ... + 215819703.

It is an arithmetic number, because the mean of its divisors is an integer number (513398237184).

Almost surely, 2^{11688838847540} is an apocalyptic number.

11688838847540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11688838847540 is an abundant number, since it is smaller than the sum of its proper divisors (12954276537292).

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

11688838847540 is a wasteful number, since it uses less digits than its factorization.

11688838847540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96416 (or 96414 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 71.

The spelling of 11688838847540 in words is "eleven trillion, six hundred eighty-eight billion, eight hundred thirty-eight million, eight hundred forty-seven thousand, five hundred forty".