11683604209680 has 840 divisors, whose sum is σ = 44197798392000. Its totient is φ = 2869712022528.

The previous prime is 11683604209609. The next prime is 11683604209729. The reversal of 11683604209680 is 8690240638611.

11683604209680 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 3 + 604 + 20 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5903790931 + ... + 5903792909.

Almost surely, 2^{11683604209680} is an apocalyptic number.

11683604209680 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 11683604209680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22098899196000).

11683604209680 is an abundant number, since it is smaller than the sum of its proper divisors (32514194182320).

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

11683604209680 is a wasteful number, since it uses less digits than its factorization.

11683604209680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 11683604209680 in words is "eleven trillion, six hundred eighty-three billion, six hundred four million, two hundred nine thousand, six hundred eighty".