19705545216 has 300 divisors, whose sum is σ = 68425509438. Its totient is φ = 5629575168.

The previous prime is 19705545203. The next prime is 19705545229. The reversal of 19705545216 is 61254550791.

It is a happy number.

19705545216 is a `hidden beast` number, since 1 + 9 + 70 + 5 + 54 + 521 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (19705545203) and next prime (19705545229).

It can be written as a sum of positive squares in only one way, i.e., 19070505216 + 635040000 = 138096^2 + 25200^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2027280 + ... + 2036976.

Almost surely, 2^19705545216 is an apocalyptic number.

19705545216 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 19705545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34212754719).

19705545216 is an abundant number, since it is smaller than the sum of its proper divisors (48719964222).

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

19705545216 is an frugal number, since it uses more digits than its factorization.

19705545216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9741 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 19705545216 in words is "nineteen billion, seven hundred five million, five hundred forty-five thousand, two hundred sixteen".