11686200088640 has 672 divisors, whose sum is σ = 37261785369600. Its totient is φ = 3442459668480.

The previous prime is 11686200088603. The next prime is 11686200088649. The reversal of 11686200088640 is 4688000268611.

It is not an unprimeable number, because it can be changed into a prime (11686200088649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1438651619 + ... + 1438659741.

Almost surely, 2^{11686200088640} is an apocalyptic number.

11686200088640 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 11686200088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630892684800).

11686200088640 is an abundant number, since it is smaller than the sum of its proper divisors (25575585280960).

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

11686200088640 is a wasteful number, since it uses less digits than its factorization.

11686200088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

The spelling of 11686200088640 in words is "eleven trillion, six hundred eighty-six billion, two hundred million, eighty-eight thousand, six hundred forty".