11686814200320 has 160 divisors (see below), whose sum is σ = 42698610649728. Its totient is φ = 2671271804928.

The previous prime is 11686814200309. The next prime is 11686814200333. The reversal of 11686814200320 is 2300241868611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 108640569 + ... + 108748088.

Almost surely, 2^{11686814200320} is an apocalyptic number.

11686814200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11686814200320 is an abundant number, since it is smaller than the sum of its proper divisors (31011796449408).

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

11686814200320 is an equidigital number, since it uses as much as digits as its factorization.

11686814200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217388690 (or 217388674 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 11686814200320 in words is "eleven trillion, six hundred eighty-six billion, eight hundred fourteen million, two hundred thousand, three hundred twenty".