19730838085 has 48 divisors (see below), whose sum is σ = 27763518960. Its totient is φ = 13421721600.

The previous prime is 19730838079. The next prime is 19730838089. The reversal of 19730838085 is 58083803791.

It can be written as a sum of positive squares in 8 ways, for example, as 8590879969 + 11139958116 = 92687^2 + 105546^2 .

It is not a de Polignac number, because 19730838085 - 2⁵ = 19730838053 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19730838089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22497667 + ... + 22498543.

It is an arithmetic number, because the mean of its divisors is an integer number (578406645).

Almost surely, 2^19730838085 is an apocalyptic number.

It is an amenable number.

19730838085 is a deficient number, since it is larger than the sum of its proper divisors (8032680875).

19730838085 is a wasteful number, since it uses less digits than its factorization.

19730838085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 19730838085 in words is "nineteen billion, seven hundred thirty million, eight hundred thirty-eight thousand, eighty-five".