19967956434432 has 240 divisors, whose sum is σ = 60519803984640. Its totient is φ = 6571729262592.

The previous prime is 19967956434373. The next prime is 19967956434449. The reversal of 19967956434432 is 23443465976991.

19967956434432 is a `hidden beast` number, since 1 + 9 + 9 + 67 + 95 + 6 + 43 + 4 + 432 = 666.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8813083 + ... + 10844645.

It is an arithmetic number, because the mean of its divisors is an integer number (252165849936).

Almost surely, 2^{19967956434432} is an apocalyptic number.

19967956434432 is a gapful number since it is divisible by the number (12) 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 19967956434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30259901992320).

19967956434432 is an abundant number, since it is smaller than the sum of its proper divisors (40551847550208).

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

19967956434432 is an frugal number, since it uses more digits than its factorization.

19967956434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031675 (or 2031647 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 19967956434432 in words is "nineteen trillion, nine hundred sixty-seven billion, nine hundred fifty-six million, four hundred thirty-four thousand, four hundred thirty-two".