19675198080 has 320 divisors, whose sum is σ = 71985208680. Its totient is φ = 5118197760.

The previous prime is 19675198043. The next prime is 19675198129. The reversal of 19675198080 is 8089157691.

It can be written as a sum of positive squares in 4 ways, for example, as 5510389824 + 14164808256 = 74232^2 + 119016^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×19675198080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2120812 + ... + 2130068.

Almost surely, 2^19675198080 is an apocalyptic number.

19675198080 is a gapful number since it is divisible by the number (10) 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 19675198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35992604340).

19675198080 is an abundant number, since it is smaller than the sum of its proper divisors (52310010600).

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

19675198080 is an equidigital number, since it uses as much as digits as its factorization.

19675198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9329 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 19675198080 in words is "nineteen billion, six hundred seventy-five million, one hundred ninety-eight thousand, eighty".