11138624217660 has 24 divisors (see below), whose sum is σ = 31188147809616. Its totient is φ = 2970299791360.

The previous prime is 11138624217659. The next prime is 11138624217667. The reversal of 11138624217660 is 6671242683111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138624217667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92821868421 + ... + 92821868540.

It is an arithmetic number, because the mean of its divisors is an integer number (1299506158734).

Almost surely, 2^{11138624217660} is an apocalyptic number.

11138624217660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11138624217660 is an abundant number, since it is smaller than the sum of its proper divisors (20049523591956).

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

11138624217660 is a wasteful number, since it uses less digits than its factorization.

11138624217660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185643736973 (or 185643736971 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 11138624217660 in words is "eleven trillion, one hundred thirty-eight billion, six hundred twenty-four million, two hundred seventeen thousand, six hundred sixty".