19380709824 has 224 divisors, whose sum is σ = 60169568256. Its totient is φ = 5391375360.

The previous prime is 19380709819. The next prime is 19380709841. The reversal of 19380709824 is 42890708391.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×19380709824² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 7918969 + ... + 7921415.

It is an arithmetic number, because the mean of its divisors is an integer number (268614144).

Almost surely, 2^19380709824 is an apocalyptic number.

19380709824 is a gapful number since it is divisible by the number (14) 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 19380709824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30084784128).

19380709824 is an abundant number, since it is smaller than the sum of its proper divisors (40788858432).

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

19380709824 is a wasteful number, since it uses less digits than its factorization.

19380709824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 19380709824 in words is "nineteen billion, three hundred eighty million, seven hundred nine thousand, eight hundred twenty-four".