11977845660 has 216 divisors, whose sum is σ = 40789240128. Its totient is φ = 2841696000.

The previous prime is 11977845643. The next prime is 11977845661. The reversal of 11977845660 is 6654877911.

11977845660 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 78 + 4 + 566 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11977845597 and 11977845606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11977845661) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1017810 + ... + 1029510.

Almost surely, 2^11977845660 is an apocalyptic number.

11977845660 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 11977845660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20394620064).

11977845660 is an abundant number, since it is smaller than the sum of its proper divisors (28811394468).

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

11977845660 is a wasteful number, since it uses less digits than its factorization.

11977845660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11785 (or 11769 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 11977845660 in words is "eleven billion, nine hundred seventy-seven million, eight hundred forty-five thousand, six hundred sixty".