19724106000 has 160 divisors (see below), whose sum is σ = 64634184576. Its totient is φ = 5173440000.

The previous prime is 19724105983. The next prime is 19724106001. The reversal of 19724106000 is 60142791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (19724106001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339055 + ... + 392945.

Almost surely, 2^19724106000 is an apocalyptic number.

19724106000 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 19724106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32317092288).

19724106000 is an abundant number, since it is smaller than the sum of its proper divisors (44910078576).

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

19724106000 is a wasteful number, since it uses less digits than its factorization.

19724106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53978 (or 53962 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 19724106000 its reverse (60142791), we get a palindrome (19784248791).

The spelling of 19724106000 in words is "nineteen billion, seven hundred twenty-four million, one hundred six thousand".