19938093120 has 336 divisors, whose sum is σ = 75129005952. Its totient is φ = 4813086720.

The previous prime is 19938093113. The next prime is 19938093143. The reversal of 19938093120 is 2139083991.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8330644 + ... + 8333036.

It is an arithmetic number, because the mean of its divisors is an integer number (223598232).

Almost surely, 2^19938093120 is an apocalyptic number.

19938093120 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 19938093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37564502976).

19938093120 is an abundant number, since it is smaller than the sum of its proper divisors (55190912832).

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

19938093120 is a wasteful number, since it uses less digits than its factorization.

19938093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 19938093120 in words is "nineteen billion, nine hundred thirty-eight million, ninety-three thousand, one hundred twenty".