19728465120 has 864 divisors, whose sum is σ = 85839953472. Its totient is φ = 4037050368.

The previous prime is 19728465103. The next prime is 19728465151. The reversal of 19728465120 is 2156482791.

19728465120 is a `hidden beast` number, since 1 + 97 + 2 + 8 + 46 + 512 + 0 = 666.

It is a super-2 number, since 2×19728465120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63030084 + ... + 63030396.

It is an arithmetic number, because the mean of its divisors is an integer number (99351798).

Almost surely, 2^19728465120 is an apocalyptic number.

19728465120 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 19728465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42919976736).

19728465120 is an abundant number, since it is smaller than the sum of its proper divisors (66111488352).

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

19728465120 is a wasteful number, since it uses less digits than its factorization.

19728465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 19728465120 in words is "nineteen billion, seven hundred twenty-eight million, four hundred sixty-five thousand, one hundred twenty".