19128485376 has 1080 divisors, whose sum is σ = 77684246640. Its totient is φ = 4428103680.

The previous prime is 19128485309. The next prime is 19128485381. The reversal of 19128485376 is 67358482191.

19128485376 is a `hidden beast` number, since 1 + 9 + 128 + 485 + 37 + 6 = 666.

It is a super-2 number, since 2×19128485376² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (2903040) is a multiple of the sum of its prime factors (108).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 659602930 + ... + 659602958.

It is an arithmetic number, because the mean of its divisors is an integer number (71929858).

Almost surely, 2^19128485376 is an apocalyptic number.

19128485376 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 19128485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38842123320).

19128485376 is an abundant number, since it is smaller than the sum of its proper divisors (58555761264).

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

19128485376 is a wasteful number, since it uses less digits than its factorization.

19128485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 19128485376 in words is "nineteen billion, one hundred twenty-eight million, four hundred eighty-five thousand, three hundred seventy-six".