19385421120 has 448 divisors, whose sum is σ = 74382416640. Its totient is φ = 4724269056.

The previous prime is 19385421089. The next prime is 19385421161. The reversal of 19385421120 is 2112458391.

19385421120 is a `hidden beast` number, since 1 + 93 + 8 + 542 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12017434 + ... + 12019046.

It is an arithmetic number, because the mean of its divisors is an integer number (166032180).

Almost surely, 2^19385421120 is an apocalyptic number.

19385421120 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 19385421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37191208320).

19385421120 is an abundant number, since it is smaller than the sum of its proper divisors (54996995520).

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

19385421120 is a wasteful number, since it uses less digits than its factorization.

19385421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 19385421120 in words is "nineteen billion, three hundred eighty-five million, four hundred twenty-one thousand, one hundred twenty".