19195044960 has 384 divisors, whose sum is σ = 74656318464. Its totient is φ = 4036976640.

The previous prime is 19195044949. The next prime is 19195044997. The reversal of 19195044960 is 6944059191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20398090 + ... + 20399030.

It is an arithmetic number, because the mean of its divisors is an integer number (194417496).

Almost surely, 2^19195044960 is an apocalyptic number.

19195044960 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 19195044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37328159232).

19195044960 is an abundant number, since it is smaller than the sum of its proper divisors (55461273504).

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

19195044960 is a wasteful number, since it uses less digits than its factorization.

19195044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 19195044960 in words is "nineteen billion, one hundred ninety-five million, forty-four thousand, nine hundred sixty".