19493953929216 has 612 divisors, whose sum is σ = 62831574475488. Its totient is φ = 5789391519744.

The previous prime is 19493953929179. The next prime is 19493953929239. The reversal of 19493953929216 is 61292935939491.

19493953929216 is a `hidden beast` number, since 1 + 9 + 49 + 3 + 9 + 539 + 29 + 21 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6448544281 + ... + 6448547303.

Almost surely, 2^{19493953929216} is an apocalyptic number.

19493953929216 is a gapful number since it is divisible by the number (16) 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 19493953929216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31415787237744).

19493953929216 is an abundant number, since it is smaller than the sum of its proper divisors (43337620546272).

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

19493953929216 is an equidigital number, since it uses as much as digits as its factorization.

19493953929216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3070 counting only the distinct ones).

The product of its digits is 255091680, while the sum is 72.

The spelling of 19493953929216 in words is "nineteen trillion, four hundred ninety-three billion, nine hundred fifty-three million, nine hundred twenty-nine thousand, two hundred sixteen".