19076428530432 has 1728 divisors, whose sum is σ = 73470504038400. Its totient is φ = 4862963589120.

The previous prime is 19076428530431. The next prime is 19076428530449. The reversal of 19076428530432 is 23403582467091.

19076428530432 is a `hidden beast` number, since 1 + 9 + 0 + 7 + 64 + 2 + 8 + 530 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (19076428530431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23067023203 + ... + 23067024029.

It is an arithmetic number, because the mean of its divisors is an integer number (42517652800).

It is a 1-persistent number, because it is pandigital, but 2⋅19076428530432 = 38152857060864 is not.

Almost surely, 2^{19076428530432} is an apocalyptic number.

19076428530432 is a gapful number since it is divisible by the number (12) 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 19076428530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36735252019200).

19076428530432 is an abundant number, since it is smaller than the sum of its proper divisors (54394075507968).

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

19076428530432 is an equidigital number, since it uses as much as digits as its factorization.

19076428530432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 19076428530432 in words is "nineteen trillion, seventy-six billion, four hundred twenty-eight million, five hundred thirty thousand, four hundred thirty-two".