19705871232 has 384 divisors, whose sum is σ = 62324121600. Its totient is φ = 5952061440.

The previous prime is 19705871231. The next prime is 19705871257. The reversal of 19705871232 is 23217850791.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×19705871232² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19705871231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72715257 + ... + 72715527.

It is an arithmetic number, because the mean of its divisors is an integer number (162302400).

Almost surely, 2^19705871232 is an apocalyptic number.

19705871232 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 19705871232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31162060800).

19705871232 is an abundant number, since it is smaller than the sum of its proper divisors (42618250368).

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

19705871232 is a wasteful number, since it uses less digits than its factorization.

19705871232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 19705871232 in words is "nineteen billion, seven hundred five million, eight hundred seventy-one thousand, two hundred thirty-two".