11686716701100 has 720 divisors, whose sum is σ = 44157394245888. Its totient is φ = 2618187287040.

The previous prime is 11686716701071. The next prime is 11686716701111. The reversal of 11686716701100 is 110761768611.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5610520659 + ... + 5610522741.

Almost surely, 2^{11686716701100} is an apocalyptic number.

11686716701100 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 11686716701100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22078697122944).

11686716701100 is an abundant number, since it is smaller than the sum of its proper divisors (32470677544788).

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

11686716701100 is a wasteful number, since it uses less digits than its factorization.

11686716701100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 11686716701100 in words is "eleven trillion, six hundred eighty-six billion, seven hundred sixteen million, seven hundred one thousand, one hundred".