19432282752 has 256 divisors, whose sum is σ = 61284211200. Its totient is φ = 6040387584.

The previous prime is 19432282691. The next prime is 19432282783. The reversal of 19432282752 is 25728223491.

It is a super-2 number, since 2×19432282752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19432282698 and 19432282707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6637513 + ... + 6640439.

It is an arithmetic number, because the mean of its divisors is an integer number (239391450).

Almost surely, 2^19432282752 is an apocalyptic number.

19432282752 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 19432282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30642105600).

19432282752 is an abundant number, since it is smaller than the sum of its proper divisors (41851928448).

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

19432282752 is a wasteful number, since it uses less digits than its factorization.

19432282752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3062 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 19432282752 in words is "nineteen billion, four hundred thirty-two million, two hundred eighty-two thousand, seven hundred fifty-two".