19996959467520 has 1152 divisors, whose sum is σ = 81791201157120. Its totient is φ = 4423396884480.

The previous prime is 19996959467509. The next prime is 19996959467533. The reversal of 19996959467520 is 2576495969991.

19996959467520 is a `hidden beast` number, since 1 + 9 + 99 + 69 + 5 + 9 + 467 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 19996959467520.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3359136864 + ... + 3359142816.

It is an arithmetic number, because the mean of its divisors is an integer number (70999306560).

Almost surely, 2^{19996959467520} is an apocalyptic number.

19996959467520 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 19996959467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40895600578560).

19996959467520 is an abundant number, since it is smaller than the sum of its proper divisors (61794241689600).

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

19996959467520 is a wasteful number, since it uses less digits than its factorization.

19996959467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 2976069600, while the sum is 81.

The spelling of 19996959467520 in words is "nineteen trillion, nine hundred ninety-six billion, nine hundred fifty-nine million, four hundred sixty-seven thousand, five hundred twenty".