11997680196960 has 288 divisors, whose sum is σ = 42934080702240. Its totient is φ = 3046741254144.

The previous prime is 11997680196917. The next prime is 11997680196973. The reversal of 11997680196960 is 6969108679911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11997680196960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080667 + ... + 5016293.

It is an arithmetic number, because the mean of its divisors is an integer number (149076669105).

Almost surely, 2^{11997680196960} is an apocalyptic number.

11997680196960 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 11997680196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21467040351120).

11997680196960 is an abundant number, since it is smaller than the sum of its proper divisors (30936400505280).

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

11997680196960 is a wasteful number, since it uses less digits than its factorization.

11997680196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935750 (or 3935739 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 72.

The spelling of 11997680196960 in words is "eleven trillion, nine hundred ninety-seven billion, six hundred eighty million, one hundred ninety-six thousand, nine hundred sixty".