19681073664000 has 1664 divisors, whose sum is σ = 78005336408064. Its totient is φ = 4311613440000.

The previous prime is 19681073663987. The next prime is 19681073664019. The reversal of 19681073664000 is 46637018691.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 45663743785 + ... + 45663744215.

It is an arithmetic number, because the mean of its divisors is an integer number (46878206976).

Almost surely, 2^{19681073664000} is an apocalyptic number.

19681073664000 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 19681073664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39002668204032).

19681073664000 is an abundant number, since it is smaller than the sum of its proper divisors (58324262744064).

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

19681073664000 is a wasteful number, since it uses less digits than its factorization.

19681073664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 19681073664000 in words is "nineteen trillion, six hundred eighty-one billion, seventy-three million, six hundred sixty-four thousand".