19720124928 has 480 divisors, whose sum is σ = 71495424000. Its totient is φ = 5102051328.

The previous prime is 19720124927. The next prime is 19720124971. The reversal of 19720124928 is 82942102791.

It is not an unprimeable number, because it can be changed into a prime (19720124923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14095173 + ... + 14096571.

It is an arithmetic number, because the mean of its divisors is an integer number (148948800).

Almost surely, 2^19720124928 is an apocalyptic number.

19720124928 is a gapful number since it is divisible by the number (18) 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 19720124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712000).

19720124928 is an abundant number, since it is smaller than the sum of its proper divisors (51775299072).

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

19720124928 is a wasteful number, since it uses less digits than its factorization.

19720124928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 19720124928 in words is "nineteen billion, seven hundred twenty million, one hundred twenty-four thousand, nine hundred twenty-eight".