19960616221200 has 360 divisors, whose sum is σ = 70798694216328. Its totient is φ = 5205909995520.

The previous prime is 19960616221199. The next prime is 19960616221213. The reversal of 19960616221200 is 212261606991.

19960616221200 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 0 + 6 + 1 + 622 + 12 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8309890105344 + 11650726115856 = 2882688^2 + 3413316^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60318592 + ... + 60648608.

Almost surely, 2^{19960616221200} is an apocalyptic number.

19960616221200 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 19960616221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35399347108164).

19960616221200 is an abundant number, since it is smaller than the sum of its proper divisors (50838077995128).

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

19960616221200 is a wasteful number, since it uses less digits than its factorization.

19960616221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330411 (or 330397 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 19960616221200 in words is "nineteen trillion, nine hundred sixty billion, six hundred sixteen million, two hundred twenty-one thousand, two hundred".