11967220416060 has 1536 divisors, whose sum is σ = 49143899750400. Its totient is φ = 2350148567040.

The previous prime is 11967220415999. The next prime is 11967220416079. The reversal of 11967220416060 is 6061402276911.

11967220416060 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 7 + 220 + 416 + 0 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11967220415997 and 11967220416015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4224220404 + ... + 4224223236.

It is an arithmetic number, because the mean of its divisors is an integer number (31994726400).

Almost surely, 2^{11967220416060} is an apocalyptic number.

11967220416060 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 11967220416060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24571949875200).

11967220416060 is an abundant number, since it is smaller than the sum of its proper divisors (37176679334340).

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

11967220416060 is a wasteful number, since it uses less digits than its factorization.

11967220416060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11967220416060 in words is "eleven trillion, nine hundred sixty-seven billion, two hundred twenty million, four hundred sixteen thousand, sixty".